Publications

  1. A.Baranov, A. Mudrov, and H.M.Shlaka: Wedderburn-Malcev decomposition of one-sided ideals of finite dimensional algebras, preprint arXiv:1609.05812.
  2. A.Baranov, A. Mudrov, and V.Ostapenko: Quantum exceptional group G2 and its semisimple conjugacy classes, preprint arXiv:1609.02843.
  3. A. Mudrov: Star product on complex sphere S2n, preprint arXiv:1608.07771.
  4. A. Mudrov: Regularization of Mickelsson generators for non-exceptional quantum groups, preprint  arXiv:1512.08666.
  5. A. Mudrov: R-matrix and inverse Shapovalov form, J. Math. Phys., 57 (2016), 051706.
  6. T. Ashton, A. Mudrov: Representations of quantum conjugacy classes of simple matrix groups, J. Math. Sci., 213 (2016), 637- 650.
  7. T. Ashton, A. Mudrov: R-matrix and Mickelsson algebras for orthosymplectic quantum groups, J. Math. Phys., 56 (2015),  081701.
  8. A. Mudrov: Orthogonal basis for the Shapovalov form on  U_q(sl(n+1)), Rev. Math. Phys, 27 (2015), 1550004,
  9. T. Ashton, A. Mudrov: Quantization of borderline Levi conjugacy classes of orthogonal groups, J. Math. Phys., 55 (2014), 121702.
  10. A. Mudrov: Non-Levi closed conjugacy classes of SO_q(N), J. Math. Phys, 54 (2013), 081701.
  11. T. Ashton, A. Mudrov: On representations of quantum conjugacy classes of GL(n), Lett. Math. Phys., 103 (2013), 1029-1045.
  12. A. Mudrov: Non-Levi closed conjugacy classes of SP_q(2n), Commun.Math. Phys., 317 (2013), 317-345.
  13. A. Mudrov: Quantum sphere S4 as a non-Levi conjugacy class, Lett. Math. Phys. 101, (2012), 157-172.
  14. A. Mudrov: On dynamical adjoint functor, Appl.Cat.Str., 21 (2013), 449-468.
  15. A. Mudrov: On dynamical Galois extension, Commun. Alg., 40 (2012), 2867 – 2892.
  16. P. Kulish, A. Mudrov: Twisting adjoint module algebras, Lett. Math. Phys., 95 (2011), 233 – 247.
  17. A. Mudrov, V. Ostapenko: Quantization of orbit bundles in gl(n)*, Isr. J. Math., 172 (2009), 399 - 423.
  18. A. Mudrov: Reflection equation and twisted Yangians, J. Math. Phys., 48 (2007), 093501.
  19. P. Kulish, A. Mudrov: Dynamical Reflection Equation, Contemp. Math., 433 (2007), 281 - 310.
  20. A. Mudrov: Irreducibility of fusion modules over twisted Yangians at generic point, Lett. Math. Phys., 80 (2007), 1 - 17.
  21. A. Mudrov: Quantum conjugacy classes of simple matrix groups, Commun. Math. Phys., 272 (2007), 635 – 660.
  22. A. Mudrov: On quantization of Semenov-Tian-Shansky Poisson bracket on simple algebraic groups, Algebra & Analyz,  5 (2006) , # 5, 156-172.
  23. P. Kulish, A. Mudrov: Baxterization of solutions to reflection equation with Hecke R-matrix, Lett. Math. Phys., 75 (2006), 151 – 170.
  24. J. Donin, A. Mudrov: Quantum groupoids and dynamical categories, J. Alg., 296 (2006), 348-384.
  25. A. Mudrov: Trigonometric dynamical r-matrices over Poisson Lie base, Lett. Math. Phys., 71. (2005), 63-73.
  26. J. Donin, A. Mudrov: Dynamical Yang-Baxter equation and quantum vector bundles, Commun. Math. Phys., 254. (2005), 719-760.
  27. A. Mudrov: Associative triples and Yang-Baxter equation, Isr. J. Math., 139 (2004), 11-28.
  28. J. Donin, A. Mudrov: Quantum coadjoint orbits of GL(n) and generalized Verma modules, Lett. Math. Phys., 67 (2004), 167-184.
  29. J. Donin, A. Mudrov: Method of quantum characters in equivariant quantization, Commun. Math. Phys., 234 (2003), 533-555.
  30. J.Donin, P. Kulish, and A. Mudrov: On a universal solution to reflection equation, Lett. Math. Phys., 63 (2003),  #3, 179-194.
  31. J. Donin, A. Mudrov: Reflection Equation, Twist, and Equivariant Quantization, Isr. J. Math., 136 (2003), 11-28.
  32. A. Mudrov: Characters of the Uq (sl(n))-reflection equation algebra, Lett. Math. Phys., 60 (2002), # 3, 283-291.
  33. J. Donin, A. Mudrov: Quantum coadjoint orbits in gl*(n), Cz. J. Phys., 52 (2002), #11, 1201-1206.
  34. J. Donin, A. Mudrov: Reflection equation- and FRT-type algebras, Cz. J. Phys., 52 (2002), #11, 1207-1212.
  35. J. Donin, A. Mudrov: Explicit  equivariant quantization on coadjoint orbits of GL(n), Lett. Math. Phys., 62 (2002), #1, 17-32.
  36. J. Donin, A. Mudrov: Uq(sl(n))-invariant quantization of symmetric coadjoint orbits via reflection equation algebra, Contemp. Math., 315 (2002) AMS, Providence, RI,  61-80.
  37. P. Kulish, A. Mudrov: Quantization of inhomogeneous Lie bialgebras, J. Geom. Phys, 42 (2002), #1-2, 64-77.
  38. P. Kulish, V. Lyakhovsky, and   A. Mudrov: Extended Jordanian twists for Lie algebras, J. Math. Phys., 40 (1999) , #9, 4569-4586.
  39. P. Kulish, A. Mudrov: On twisting solutions to the Yang-Baxter equation, Cz. J. Phys., 50 (1999) ,115-122.
  40. P. Kulish, A. Mudrov: Twist-related geometries on quantum Minkowski spaces, Tr. Mat. Inst. Steklova, 226 (1999), Mat. Fiz. Probl. Kvantovoi Teor. Polya, 97-111.
  41. P. Kulish, A. Mudrov: Universal R-matrix for esoteric quantum algebras, Lett. Math. Phys., 47 (1999), 139-148.
  42. A. Mudrov: Twisting cocycle for null-plane quantized Poincare algebra, J. Phys. A, 31 (1998), # 29, 6219-6224
  43. A. Mudrov: Twisting cocycles in fundamental representation and triangular bicrossproduct Hopf algebras, J. Math. Phys., 39 (1998), # 10, 5608-5616.
  44. A. Mudrov: On quantization of  Z_2-graded algebras, J. Math. Phys., 38 (1997), # 1, 476-483.
  45. A. Mudrov: Quantum Lorentz algebras, Yad. Fiz., 60 (1997), # 5, 946-958. [English translation Phys. At. Nucl.].
  46. V. Lyakhovsky, A. Mudrov: Generalized quantization scheme for Lie algebras, J. Phys. A, 25 (1992),  L1139-L1144.
  47. V. Lyakhovsky, A. Mudrov: Spinor structures on homogeneous spaces, Theor. Math. Phys., 92 (1992), # 1, 13-24.
  48. J. Gun, O. Lev, A. Modestov, and A. Mudrov: Radial flow electrochemical cell for on-line ESMS mass spectrometry: Introduction, theory, and electro-oxidation of dimethylaminomethyl-ferrocene, Electroanalysis, 16 (2004), # 5, 367-378.
  49. A. Mudrov, K. Varnashev: Critical behavior of certain antiferromagnets with complicated ordering: Four-loop epsilon expansion analysis, Phys. Rev. B, 64 (2001), 214423.
  50. A. Mudrov, K. Varnashev: Critical thermodynamics of three-dimensional MN component field model with cubic anisotropy from higher-loop epsilon expansion, J. Phys. A, 34 (2001), # 23, L347-353.
  51. A. Mudrov, K. Varnashev: On critical behavior of certain antiferromagnets with complicated ordering, JETP Lett., 74 (2001), # 5, 279-283.
  52. A. Mudrov, K. Varnashev: New approach to summation of field-theoretical series in models with strong coupling, In: Problems of Quantum Field Theory (ed. B. Barbashov, G. Efimov, and A. Efremov) - Dubna: JINR Publishing Department,  1999, 267–271.
  53. A. Mudrov, K. Varnashev: Borel summation of asymptotic series and critical exponents for N-vector cubic model from five loop epsilon-expansion, Phys. Rev. E, 58 (1998), # 5, 5371-5375.
  54. A. Mudrov, K. Varnashev: Three-loop renormalization group analysis of a complex model with stable fixed point.  Critical exponents up to epsilon^3 and epsilon^4, Phys. Rev. B, 57 (1998), # 6, 3562-3576.
  55. A. Mudrov, K. Varnashev: On stability of three-dimensional fixed point in model with three coupling constants from epsilon-expansion. Three-loop results, Phys. Rev. B, 57 (1998), # 10, 5704-5710.
  56. A. Mudrov, A. Sokolov, and K. Varnashev: Critical exponents for the model with unique stable fixed point from three-loop RG expansions, Int. J. Mod. Phys. B, 12 (1998), # 12-13, 1365-1377.

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