Libor Snobl's page
My papers, preprints and other research works:
 M.F. Hoque, O. Kubu, A. Marchesiello and L. Snobl, New classes of quadratically integrable systems with velocity dependent potentials: nonsubgroup type cases, Eur. Phys. J. Plus (2023) 138: 845 [arXiv:2309.12718].
 O. Kubu and L. Snobl, Cylindrical firstorder superintegrability with complex magnetic fields, J. Math. Phys. 64 (2023) 062101 [arXiv:2212.04141].
 M.F. Hoque and L. Snobl, Family of nonstandard integrable and superintegrable classical Hamiltonian systems in nonvanishing magnetic fields, J. Phys. A: Math. Theor. 56 (2023) 165203 [arXiv:2212.05338].
 O. Kubu, A. Marchesiello and L. Snobl, New classes of quadratically integrable systems in magnetic fields: The generalized cylindrical and spherical cases, Ann. Phys. 451 (2023) 169264 arXiv:2206.15305.
 A. Marchesiello and L. Snobl, Pairs of commuting quadratic elements in the universal enveloping algebra of Euclidean algebra and integrals of motion, J. Phys. A: Math. Theor. 55 (2022) 145203.
 O. Kubu, A. Marchesiello and L. Snobl, Superintegrability of separable systems with magnetic field: the cylindrical case, J. Phys. A: Math. Theor. 54 (2021) 425204.
 S. Bertrand, O. Kubu and L. Snobl, On superintegrability of 3D axiallysymmetric nonsubgrouptype systems with magnetic fields, J. Phys. A: Math. Theor. 54 (2021) 015201
[arXiv:2008.01987].
 F. Fournier, L. Snobl and P. Winternitz, Cylindrical type integrable classical systems in a magnetic field, J. Phys. A: Math. Theor. 53 (2020) 085203
[arXiv:1909.05307].
 A. Marchesiello and L. Snobl, Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates, SIGMA 16 (2018), 015, 35 pages
[arXiv:1911.01180].
 S. Bertrand and L. Snobl, On rotationally invariant integrable and superintegrable classical systems in magnetic fields with nonsubgroup type integrals, J. Phys. A: Math. Theor. 52 (2019) 195201
[arXiv:1812.09399].
 O. Kubu and L. Snobl, Superintegrability and timedependent integrals, Archivum Mathematicum 55 (2019) 5, pp. 309318.
 A. Marchesiello, L. Snobl and P. Winternitz, Spherical type integrable classical systems in a magnetic field, J. Phys. A: Math. Theor. 51 (2018) 135205.
 A. Marchesiello and L. Snobl, An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals, SIGMA 14 (2018), 092, 11 pages
[arXiv:1804.0303].
 A. Marchesiello and L. Snobl, Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables, J. Phys. A: Math. Theor. 50 (2017) 245202
.
 A. Marchesiello, L. Snobl and P. Winternitz, Threedimensional superintegrable systems in a static electromagnetic field, J. Phys. A: Math. Theor. 48 (2015) 395206
[arXiv:1507.04632].
 A. Marchesiello, S. Post, L. Snobl, Thirdorder superintegrable systems with potentials satisfying only nonlinear equations, J. Math. Phys. 56 (2015) 102104
[arXiv:1501.00470].
 Libor Snobl and Pavel Winternitz: Classification and Identification of Lie Algebras, CRM Monograph Series, Volume: 33,
American Mathematical Society together with Centre de Recherches Mathematiques, ISBN13: 9780821843550 (a short presentation).
 L. Hlavaty, J. Navratil and L. Snobl, On renormalization of PoissonLie Tplural sigma models , Acta Polytechnica (2013) to appear
[arXiv:1212.5936].
 L. Snobl and P. Winternitz, Solvable Lie algebras with Borel nilradicals, J. Phys. A: Math. Theor. 45 (2012) 095202
[arXiv:1110.5492].
 L. Snobl,
Maximal solvable extensions of filiform algebras, Archivum mathematicum 47 (2011) 405414.
 A.M. Grundland, A.J. Hariton and L. Snobl,
Invariant solutions of supersymmetric nonlinear wave equations, J. Phys. A: Math. Theor. 44 (2011) 085204
[arXiv:0911.1324].
 L. Snobl,
On the structure of maximal solvable extensions and of Levi extensions of nilpotent Lie algebras, J. Phys. A: Math. Theor. 43 (2010) 505202
[arXiv:1003.4223].
 L. Snobl and D. Karasek, Classification of solvable Lie algebras with a given nilradical by means of solvable extensions of its subalgebras,
Linear Algebra and its Applications 432 (2010) 18361850,
[arXiv:0908.0271].
 A. M. Grundland, A. J. Hariton and L. Snobl, Invariant solutions of the supersymmetric
sineGordon equation, J. Phys. A: Math. Theor. 42 (2009) 335203. [arXiv:0812.3862].
 L. Snobl and P. Winternitz, All solvable extensions of a class of nilpotent Lie algebras of
dimension n and degree of nilpotency n1, J. Phys. A: Math. Theor. 42 (2009) 105201
[arXiv:0809.3259].
 L. Hlavaty and L. Snobl,
Description of Dbranes invariant under the PoissonLie Tplurality, J. High Energy Phys. 07 (2008) 122
[arXiv:0806.0963].
 C. Albertsson, L. Hlavaty, and L. Snobl, On the PoissonLie Tplurality of boundary conditions, J. Math. Phys. 49 (2008) 032301,
[arXiv:0706.0820].
Presentation in Stockholm.
 L. Hlavaty and L. Snobl, PoissonLie Tplurality as canonical transformation, Nucl. Phys. B 768 (2007) 209218,
[hepth/0608133].
 A.M. Grundland and L. Snobl, Surfaces Associated with Sigma Models, Studies in Applied Mathematics 117 (2006) 335351
(the preliminary version available as [math.DG/0601302] differs substantially from the published paper).
 L. Hlavaty and L. Snobl, Transformations of conformally invariant sigma models,
Proceedings of the 25th Winter School Geometry and Physics, Srni, January 2005, Rend. Cic. Mat. Palermo, Serie II, Suppl. 79 (2006) 111116.
 A. M. Grundland and L. Snobl, Description of surfaces associated with Grassmannian sigma models on Minkowski space, J. Math. Phys. 46 (2005) 083508
[math.DG/0501200].
 L. Snobl and P. Winternitz, A class of solvable Lie algebras and their Casimir Invariants,
J. Phys. A: Math. Gen. 38 (2005) 26872700,
[mathph/0411023].
 L. Hlavaty and L. Snobl, PoissonLie Tplurality of threedimensional
conformally invariant sigma models II: Nondiagonal metrics and dilaton
puzzle, J. High Energy Phys. 10 (2004) 045, [hepth/0408126].
 A.M. Grundland and L. Snobl,
Surfaces in su(N) algebra via CP^{N1} sigma models on Minkowski space,
Proceedings of International Conference Symmetry Methods in Physics [CDROM]. Dubna: JINR, 2004.
 A. M. Grundland and L. Snobl, Description of surfaces associated with CP^(N1) sigma models on Minkowski space,
Journal of Geometry and Physics 56 (2006) 512531,
[math.DG/0405513].
 L. Hlavaty and L. Snobl,
PoissonLie Tplurality of threedimensional conformally invariant sigma models, J. High Energy Phys. 05 (2004) 010
[hepth/0403164].
 L. Snobl, Modular spaces of lowdimensional Drinfeld doubles, Proceedings of the 23rd
Winter School Geometry and Physics, Srni, January 2003, Rend. Cic. Mat. Palermo,
Serie II, Suppl. 72 (2004) 193202.
 L. Snobl, On modular spaces of semisimple Drinfeld doubles, J. High Energy Phys. 09 (2002) 018 [hepth/0204244].
 Doctoral Thesis.
 L. Snobl, L. Hlavaty, Classification of 6dimensional real
Drinfeld doubles, Int. J. Mod. Phys. A17 (2002) 40434068 [math.QA/0202210].
 L. Hlavaty, L.Snobl, Classification of 6dimensional Manin triples,
[math.QA/0202209]
 L. Hlavaty, L. Snobl, Classification of PoissonLie Tdual models
with twodimensional targets, Mod. Phys. Lett. A17 (2002) 429434
[hepth/0110139].
 L. Snobl, L. Hlavaty, Principal chiral models with nonconstant metric,
Czech. J. of Phys. 51 (2001) 14411446.
 L Hlavaty
and L Snobl, Principal chiral models on nonsemisimple groups,
J. Phys A 34 (2001) 77957809.
 L. Snobl, Construction of quantum doubles
from solutions of YangBaxter system, Czech. J. of Phys. 50 (2000) 187192.
 L. Hlavaty, L. Snobl, Solution of the YangBaxter System
for Quantum Doubles, Int. J. Mod. Phys. A 14 (1999) 30293058.
 L. Hlavaty, L. Snobl,
Solution of a YangBaxter system, [math.QA/9811016]
(a preliminary version of the article above).
 Diploma Thesis: Quantum doubles
and Universal Rmatrices, Prague 1999.
 PreDiploma work: Solution of the YangBaxter
System for Quantum doubles, Prague 1998 (in czech, for english version see articles above).
 Review work: Bethe's Ansatz
and YangBaxter Equations, Prague 1997 (in czech only).
List of conferences and talks:

Analytic and algebraic methods in physics XIX
, Prague, September 2022, (talk Pairs of commuting quadratic elements in the universal enveloping algebra of
Euclidean algebra and integrals of motion).

34th International Colloquium on Group Theoretical Methods in Physics
, Strasbourg, July 2022, (talk Pairs of commuting quadratic elements in the universal enveloping algebra of
Euclidean algebra and integrals of motion).

Group theoretical methods in physics, A commemorative meeting in honour of Pavel Winternitz at the CRM
, Montreal, July 2021, (talk Superintegrability in the presence of magnetic fields: the cylindrical case).

Analytic and algebraic methods in physics XVI
, Prague, September 2019, (talk Superintegrability and time  dependent integrals).
 XI. International Symposium Quantum Theory and Symmetries, Montreal, July 2019 (talk Superintegrability in the presence of magnetic fields).
 32th International Colloquium on Group Theoretical Methods in Physics, Prague, July 2018,
(talk Integrable 3D systems in a magnetic field corresponding to spherical separation of variables).
 Symmetry and Perturbation Theory, Pula, Sardinia, June 2018,
(talk Spherical type integrable classical systems in a magnetic field).
 Group Analysis of Differential Equations and Integrable Systems, Larnaca, June 2018,
(talk Integrable 3D systems in a magnetic field corresponding to spherical separation of variables).
 Physics and Mathematics of Nonlinear Phenomena, Gallipoli, June 2017, (talk Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables).
 Doppler InstituteCRM Workshop on the occasion of 80th birthdays of Jiri Patera and Pavel Winternitz, Prague, June 2016, (talk Integrable and superintegrable systems in static electromagnetic fields).
 Physics and Mathematics of Nonlinear Phenomena, Gallipoli, June 2015,
(talk 3D superintegrable systems with magnetic field).
 Exact Solvability and Symmetry Avatars, CRM Montreal, August 2014,
(talk Classification and Identification of Lie Algebras).
 30th International Colloquium on Group Theoretical Methods in Physics, Ghent, July 2014,
(talk Classification and Identification of Lie Algebras).
 Group Analysis of Differential Equations and Integrable Systems, Larnaca, June 2014,
(talk Classification and identification of Lie algebras).
Analytic and algebraic methods in physics XII,
the meeting dedicated to the 75th birthday of professor Miloslav Havlicek, Prague, November 2013 (talk Classification
and Identification of Lie Algebras).
 7th Student Colloquium and School on Mathematical Physics,
Stara Lesna, August 2013 (lecture series Superintegrability in classical and quantum mechanics).
 Symmetries in Science XVI, Bregenz, July 2013,
(talk Classification of solvable & Levi decomposable Lie algebras).
 The 33th Winter School GEOMETRY AND PHYSICS,
Srni, January 2013 (talk Solvable Lie algebras with Borel nilradicals).
 Student Colloquium and School on Mathematical Physics, Stara Lesna, August 2012
(lecture Solvable Lie algebras with Borel nilradicals).
 Group Analysis of Differential Equations and Integrable Systems, Protaras, Cyprus, June 2012
(lecture Solvable Lie algebras with Borel nilradicals).
 50. Internationale Universitaetswochen fuer Theoretische Physik "Prospects of Particle Physics", Schladming, February 2012.
 The 28th Nordic Network Meeting on "Strings, Fields and Branes", Stockholm, December 2011.
 Student Colloquium and School on Mathematical Physics, Stara Lesna, August 2011
(minicourse Representations of Lie algebras, Casimir operators and their applications).
 VII. International Symposium QUANTUM THEORY AND SYMMETRIES, Prague, August 2011 (talk
Structure of Levi extensions of nilpotent and solvable Lie algebras).
 49. Internationale Universitaetswochen fuer Theoretische Physik "Physics at all scales: The Renormalization Group",
Schladming, February/March 2011.
 The 31th Winter School GEOMETRY AND PHYSICS,
Srni, January 2011 (talk Structure of Levi extensions of nilpotent and solvable Lie algebras).
 Workshop Symmetries and Lagrangian Formalism in Geometry & Physics: A homage to Jerrold E. Marsden,
Madrid, November 2010 (talk PoissonLie Tplurality and invariant Dbranes).
 Symmetry, Separation, Superintegrability and Special Functions (S4) Conference,
Minneapolis, September 2010 (talk Classification of solvable Lie algebras  new approaches and developments).
 International Conference on Strings, Mtheory and Quantum Gravity, Ascona, July 2010.
 Orbit functions, Workshop of the Doppler Institute, Decin, June 2010.
 Group Analysis of Differential Equations
and Integrable Systems, Fifth Workshop, Protaras, Cyprus, June 2010 (talk Symmetries and invariant solutions of PDEs on superspace).
 48. Internationale Universitaetswochen fuer Theoretische Physik "Masses and Constants",
Schladming, March 2010 (seminar Symmetries and invariant solutions of PDEs on superspace).
 The 30th Winter School GEOMETRY AND PHYSICS, Srni, January 2010 (talk
Classification of solvable Lie algebras with a given nilradical
by means of solvable extensions of its subalgebras).
 Student Colloquium and School on Mathematical Physics, Stara Lesna, August 2009
(minicourse Classification of Lie algebras).
 XVI International Congress on Mathematical Physics and Young Researcher Symposium, Prague,
August 2009 (talk Description of Dbranes
invariant under the PoissonLie Tplurality
transformations).
 Symposium Symmetries in Science, Bregenz, July 2009.
 The 29th Winter School GEOMETRY AND PHYSICS,
Srni, January 2009 (talk Symmetries and invariant solutions of the supersymmetric sineGordon equation).
 Geometrical Aspects
of String Theory, Stockholm, October 2008.
 Strings 2008,
CERN, Geneva, August 2008.
 Poisson
2008, Lausanne, July 2008 (poster Description of Dbranes invariant under the PoissonLie Tâ€“plurality
transformations).
 The 28th Winter School GEOMETRY AND PHYSICS,
Srni, January 2008 (talk PoissonLie Tplurality of boundary conditions).
 Autumn Student School on Mathematical Physics, Stara Lesna, July 2007 (talk On PoissonLie Tplurality of boundary conditions).
 Eurostrings07, Orthodox Academy of Crete, Kolymbari, Crete, July 2007.
 Summer School Aspects of Membrane Dynamics, Stockholm, June 2007 (talk On PoissonLie Tplurality of boundary conditions).
 Winter School "Geometry and Physics", Srni, January 2007 (talk PoissonLie Tplurality as canonical transformation).
 School on Particle Physics, Gravity and Cosmology, Dubrovnik, AugustSeptember 2006.
Proceedings.
 Geometry and the Universe, C.N. Yang Institute, Stony Brook, October 2005.
 IV. International Symposium
QUANTUM THEORY AND SYMMETRIES, Varna, August 2005 (talk On the classification of solvable Lie algebras with given nilradicals).

Strings05, Toronto, July 2005 (a poster PoissonLie Tplurality of threedimensional conformally invariant sigma models).

Summer School on Strings, Gravity and Cosmology,
Perimeter Institute, Waterloo, JuneJuly 2005 (student talk
PoissonLie Tplurality and 3dimensional conformally invariant sigma models),
scanned lecture notes (taken during the lectures,
i.e. fairly uncomplete).
 Winter School "Geometry and Physics", Srni, January 2005 (talk
Description of surfaces associated with Grassmannian sigma models on Minkowski space).
 XI International Conference on Symmetry Methods in Physics, Prague, June 2004 (talk The structural equations of surfaces associated
with CP^{N1} sigma models on Minkowski space.).
 XIII International Colloquium on Integrable Systems and Quantum Groups, Prague, June 2004 (talk PoissonLie Tplurality of threedimensional conformally invariant sigma models.).
 61ieme Colloque
des sciences mathematiques du Quebec, Montreal, April 24, 2004 (talk PoissonLie Tplurality and 3dimensional
conformally invariant sigma models.).
 Winter School "Geometry and Physics", Srni, January 2004.
 XIV International Congress
on Mathematical Physics, University of Lisbon, July  August 2003 (a poster On modular spaces of Drinfeld doubles).

School on Mathematics in String and Field Theory , ICTP Trieste, June 2003
scanned lecture notes (taken during the lectures,
i.e. fairly uncomplete).
 Winter School "Geometry and Physics", Srni, January 2003 (talk "Modular spaces of Drinfeld doubles").
 International Conference on Theoretical Physics ,
Paris, UNESCO, July 2002 (a poster Classification of PoissonLie Tdual models with twodimensional targets).
 XXIV International Colloquium on Group Theoretical Methods in Physics,
Paris, July 2002 (a poster Classification of sixdimensional real Manin triples and Drinfeld doubles).

Introductory School on String Theory , ICTP Trieste, June 2002
scanned lecture notes (taken during the lectures,
i.e. fairly uncomplete).
 Winter School "Geometry and Physics", Srni, January 2002 (talk PoissonLie Tdual models with two dimensional targets).
 Euro Summer School "WHAT IS INTEGRABILITY?",
Cambridge, August 2001
scanned lecture notes (taken during the lectures,
i.e. fairly uncomplete).
 XX Workshop on Geometric Methods in Physics,
Bialowieza, July 2001 (talk Principal chiral models with nonconstant metric).
 10th Colloquium "Quantum Groups and Integrable Systems",
Prague, June 2001 (talk Principal chiral models with nonconstant metric).
 Winter School "Geometry and Physics", Srni, January 2001 (talk Principal chiral models on nonsemisimple groups).
 Workshop on Algebraic Geometry and Physics
"Algebraic Geometry and Integrable Systems", SISSA, Trieste, October 2000.
 XIII International Congress on Mathematical Physics, Imperial College, London, July 2000 (talk Solution of the YangBaxter System for Quantum Doubles and a poster Construction of Quantum Doubles from Solutions of YangBaxter System).

39. Internationale Universitaetswochen fuer Kern und Teilchenphysik "Methods of Quantization", Schladming, FebruaryMarch 2000 (talk Construction of quantum doubles from solutions of YangBaxter system).
 XVIII Workshop on Geometric Methods in Physics,
Bialowieza, July 1999 (talk Construction of quantum doubles from solutions of YangBaxter system).
 Winter School "Geometry and Physics", Srni, January 1999.
 8th Colloquium "Quantum Groups and Integrable Systems",
Prague, June 1999 (talk Construction of quantum doubles from solutions of YangBaxter system).

South European School on Elementary Particle Physics, Corfu, September 1998.