L. Hlavaty, List of papers in the international journals
1
L.Hlavatý
and J.Niederle.
Relativistic equations and indecomposable representations of the Lorentz
group SL(2,C).
Czech.J.Phys. B, 29, 1979.
L. Hlavatý and J. Niederle.
Casimir operators of the simplest
supersymmetry algebras.
Lett.Math.Phys, 4:301, 1980.
L. Hlavatý.
Nuclear decay scheme construction based on qualitative coincidences.
Comp.Phys.Comm., 19:197, 1980.
L.Hlavatý
and J.Niederle.
Field equations invariant under indecomposable representations of the Lorentz group.
J.Math.Phys., 22:1775, 1981.
L. Hlavatý.
The alternative supersymmetry algebra.
J.Phys. A, 15:2973, 1982.
L. Hlavatý.
On the uniqueness of Bäcklund transformations
for the KdV-type
equations.
Czech.J.Phys., B 33:1049, 1983.
L. Hlavatý, K.B.Wolf,
and S.Steinberg.
Integral and Bäcklund transformations within symmetry groups of certain families
of nonlinear equations.
J.Phys. A, 16:2917, 1983.
L. Hlavatý, K.B.Wolf,
and S.Steinberg.
Riccati equations and Lie series.
J.Math.Anal.Appl., 104:246, 1984.
L. Hlavatý.
Bäcklund transformations for KdV-type equations.
Czech.J.Phys. B, 35:370, 1985.
L. Hlavatý.
Bäcklund transformations
and solutions to KdV-type equations.
J.Phys. A, 18:1933, 1985.
L. Hlavatý.
The Painlevé analysis of Calogero-Degasperis-Fokas
equations.
Phys.Lett. A, 113:177, 1985.
L. Hlavatý, K.B.Wolf,
and S.Steinberg.
Nonlinear differential equations as invariants under group actions
on coset bundles. Burgers and KdV equation families.
J.Math.Anal.Appl., 114:340, 1986.
L. Hlavatý.
The Painlevé analysis of damped
KdV equation.
J.Phys.Soc.Japan, 55:1405, 1986.
L. Hlavatý.
Test of resonances in the Painlevé analysis.
Comp.Phys.Comm., 42:427, 1986.
L. Hlavatý.
Unusual solutions to the Yang-Baxter equation.
J.Phys. A, 20:1661, 1987.
L. Hlavatý.
The Painlevé analysis of nonautonomous
evolution equations.
Phys.Lett. A, 128:335, 1988.
L. Hlavatý.
The Painlevé classification, dominant truncations
and resonance analysis.
J.Phys. A, 21:2855, 1988.
L. Hlavatý.
The Painlevé classification of semilinear PDEs.
Lett.Math.Phys., 17:301, 1988.
L. Hlavatý.
The Painlevé analysis of fermionic
extensions of KdV and Burgers equations.
Phys.Lett A, 137:173, 1989.
L. Hlavatý.
On the Painlevé classification of partial differential equations.
J.Math.Phys., 31:605, 1990.
C. Burdík
and L. Hlavatý.
A two-parametric quantization
of sl(2).
J.Phys. A, 24:L165, 1991.
L. Hlavatý.
Two-dimensional quantum spaces corresponding to solutions of the
Yang-Baxter equations.
J.Phys. A, 24:2903, 1991.
L. Hlavatý.
Yang-Baxter matrices and differential calculi on quantum hyperplanes.
J.Phys. A, 25:485, 1992.
L. Hlavatý.
New constant and trigonometric
4x4 solutions to the Yang-Baxter equations.
J.Phys. A, 25:L63, 1992.
L. Hlavatý.
On solutions of the Yang-Baxter equations without aditivity.
J.Phys. A, 25:1395, 1992.
L. Hlavatý.
On the Painlevé classification of partial differential equations. II. Rational equations with one pole.
Czech.J.Phys. B, 42:765, 1992.
L. Hlavatý.
On the Painlevé classification of partial differential equations. III. Rational equations with several poles.
J.Math.Phys., 33:888, 1992.
M.Bednár,
C. Burdík, M. Couture, and L. Hlavatý.
On the quantum symmetries associated with the two-parameter
free-fermion model.
J.Phys. A, 25:L341, 1992.
L. Hlavatý.
A remark on quantum supergroups.
Mod.Phys.Lett., 7:3365, 1992.
L. Hlavatý.
On associative commutation
relations.
Czech.J.Phys. B, 42:1331, 1992.
L.Hlavatý.
Quantized braided groups.
J.Math.Phys., 35(5):2560-2569,
1994.
L.Hlavatý.
Generalized algebraic framework for open spin chains.
J.Phys. A, 27:5645, 1994.
L.Hlavatý.
Algebraic framework for quantization of nonultralocal models.
J.Math.Phys., 36:4882-4897, 1995.
L. Hlavatý and A. Kundu.
Quantum integrability of nonultralocal models through Baxterisation of quantised braided algebra.
Int.J.Mod.Phys. A,
11(12):2143-2165, 1996.
L. Hlavatý.
Classification of quantized braided groups in the dimension
two.
Int.J.Mod.Phys. A,
12(28):5161-5169, 1997.
L. Hlavatý and L. Šnobl.
Solution of the Yang-Baxter system for quantum
double.
Int.J.Mod.Phys. A,
14(19):3029-3058, 1999.
L. Hlavatý.
On the Lax formulation of generalized SU(2) principal models.
Phys.Lett. A, 271(3):207-212, 2000.
L. Hlavatý.
Principal models on a solvable group with nonconstant metric.
Phys.Lett. A, 275:419-423, 2000.
L. Hlavatý and L. Šnobl.
Principal models on non-semisimple groups.
J.Phys. A, 34:7795-7809, 2001.
40
L. Šnobl and L. Hlavatý
Principal chiral models with non-constant metric.
Czech.J.Phys., 51:1441-1446, 2001.
41
L. Hlavatý and L. Šnobl.
Poisson-Lie T-dual models with two-dimensional
targets.
Mod.Phys.Lett. A, 17:429-434, 2002.
42
L. Šnobl and L. Hlavatý
Classification of
6-dimensional real Drinfeld
doubles.
Int.J.Mod.Phys. A., A17 (2002)
4043-4068, math.QA/0202210.
43
L. Hlavatý and L. Šnobl.
Poisson-Lie T-plurality of
three-dimensional conformally
invariant sigma models.
J. High Energy Phys., JHEP05(2004)010, hep-th/0403164.
44
L. Hlavatý and L. Šnobl.
Poisson-Lie T-plurality of
three-dimensional conformally
invariant sigma models II:
Nondiagonal
metrics and dilaton puzzle.
J. High Energy Phys., JHEP10(2004)045, hep-th/0408126.
45
L. Hlavatý
Classical solution of a sigma model in curved
background
Phys. Lett. B, 625 (2005) 285-290 hep-th/0506188.
46
L. Hlavatý and M. Turek
Flat coordinates and dilaton fields for three-dimensional conformal sigma models
J. High Energy Phys., JHEP06(2006)003, hep-th/0512082 , hep-th/0601172 .
47
L. Hlavatý, J Hýbl and M.
Turek
Classical solution of a sigma model in curved
background by the Poisson-Lie
T-plurality
Int. J. Mod. Phys. A, 22 (2007) 1039-1052, hep-th/0608069.
48
L. Hlavatý and L. Šnobl.
Poisson-Lie T-plurality as canonical
transformation
Nucl. Phys. B, 768 (2007) 209-218, hep-th/0608133.
49
C. Albertsson,
L. Hlavatý and L. Šnobl.
On the Poisson-Lie
T-plurality of boundary conditions
J. Math. Phys., 49 (2008) 032301-23, arXiv:0706.0820.
50
L. Hlavatý and L. Šnobl.
Description of D-branes invariant under the Poisson-Lie T-plurality
J. High Energy Phys., JHEP07(2008)122, arXiv:0806.0963 .
51
L. Hlavatý , I. Petr and V.
Štěpán.
Poisson-Lie T-plurality with
spectators
J. Math. Phys., 50 (2009) 043504.
52
L. Hlavatý , V. Štěpán and
J. Vysoký.
Drinfel’d superdoubles and Poisson–Lie T-plurality in low dimensions
J. Math. Phys. 51 (2010) 062304.
53
L. Hlavatý , J. Vysoký.
Poisson-Lie
Sigma Models on Drinfel'd double
Archivum Mathematicum
48
(2012), 291–315, arXiv:1211.0901 .
54
L. Hlavatý , M.Turek.
Nonabelian dualization of plane wave backgrounds
J. Mod. Phys. 3 (2012) 1088 arXiv:1201.5939 .
55
L. Hlavatý , J. Navrátil, L. Šnobl,
On renormalization of Poisson-Lie T-plural sigma models,
Acta Polytechnica 53 (2013) 433–437, arXiv:1212.5936 .
56
L. Hlavatý , I. Petr
New solvable sigma models in plane-parallel wave background,
Int. J. Mod. Phys. A, 29 (2014) 1450009, arXiv:1308.0153 .
57
L. Hlavatý , I. Petr
Plane-parallel waves as duals of the flat background,
Class. Quantum Grav. 32 (2015) 035005, arXiv:1406.0971 .
58
L. Hlavatý , F. Petrásek
On uniqueness of T-duality with spectators,
Int. J. Mod. Phys. A, 31 (2016) 1650143 arXiv:1606.02522 .
59
F. Petrásek, L. Hlavatý , I. Petr
Plane-parallel waves as duals of the flat background II: T-duality with
spectators,
Class.
Quantum Grav. 34
(2017) 155003, arXiv:1612.08015 .
60
L. Hlavatý, F. Petrásek, I. Petr
Plane-parallel waves as duals of the flat background III: T-duality with torsionless B-field,
Class. Quantum Grav. 35 (2018) 075012, arXiv:1711.08688
61
L. Hlavatý, I. Petr
Poisson-Lie T-plurality revisited. Is T-duality unique?
J. High Energy Phys., JHEP10(2019) 2019: 157, arXiv:1811.12235
62
L. Hlavatý, I. Petr
Poisson--Lie identities and dualities of Bianchi
cosmologies
Eur. Phys. J. C (2019) 79: 855, arXiv: 1905.13627
63
L. Hlavatý, I. Petr
Poisson-Lie
plurals of Bianchi cosmologies and Generalized Supergravity Equations
J. High Energy
Phys. (2020) 068, ,
arXiv:1910.08436
.
64
L. Hlavatý
Classification of 6D Leibniz algebras
Progress of Theoretical and Experimental Physics (2020), 071B01, arXiv: 2003.06164
65
L. Hlavatý, I. Petr
T-folds as Poisson-Lie plurals
Eur. Phys. J. C 80 (2020), 892, arXiv: 2004.08387
66
L. Hlavatý
Compatibility of Poisson--Lie transformations with symmetries of Generalized Supergravity Equations
Eur. Phys. J. C 82 (2022), 1070, arXiv: 2201.03931