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Publications

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2009
Mudrov A, Ostapenko V.  2009.  Quantization of orbit bundles in gl(n)*. Israel Journal of Mathematics. 172(1):399-423.
2007
Mudrov A.  2007.  Reflection equation and twisted Yangians. J. Math. Phys. 48(9):093501:1-22.
Mudrov A.  2007.  Irreducibility of fusion modules over twisted Yangians at generic point. Lett. Math. Phys. 80:1-17.
Mudrov A.  2007.  Quantum conjugacy classes of simple matrix groups. Commun. Math. Phys.. Abstract
2006
Kulish P, Mudrov A.  2006.  Baxterization of solutions to reflection equation with Hecke R-matrix. Lett. Math. Phys.. 75:151-170.
Mudrov A.  2006.  On quantization of Semenov-Tian-Shansky Poisson bracket on simple algebraic groups. Algebra & Analysis. 5:156-172.
Donin J, Mudrov A.  2006.  Quantum groupoids and dynamical categories. J. Alg.. 296:348-384.
2005
Donin J, Mudrov A.  2005.  Dynamical Yang-Baxter equation and quantum vector bundles. Commun. Math. Phys.. 254:719-760. Abstract
Mudrov A.  2005.  Trigonometric dynamical r-matrices over Poisson Lie base. Lett. Math. Phys.. 71:63-73.
2004
Kulish P, Mudrov A.  2004.  Dynamical Reflection Equation. Contemp. Math..
Mudrov A.  2004.  Associative triples and Yang-Baxter equation. Isr. J. Math.. 139:11-28.
Donin J, Mudrov A.  2004.  Quantum coadjoint orbits of GL(n) and generalized Verma modules. Lett. Math. Phys.. 67:167-184.
Gun J, Lev O, Modestov A, Mudrov A.  2004.  Radial flow electrochemical cell for on-line ESMS mass spectrometry: Introduction, theory, and electro-oxidation of dimethylaminomethyl-ferrocene. Electroanalysis. :367-378.
2003
Donin J, Mudrov A.  2003.  Method of quantum characters in equivariant quantization. Commun. Math. Phys.. 234:533-555.
Donin J, Kulish P, Mudrov A.  2003.  On a universal solution to reflection equation. Lett. Math. Phys.. 63:179-194.
Donin J, Mudrov A.  2003.  Reflection Equation, Twist, and Equivariant Quantization. Isr. J. Math.. 136:11-28.
2002
Mudrov A.  2002.  Characters of the Uq (sl(n))-reflection equation algebra. Lett. Math. Phys.. 60:283-291.
Donin J, Mudrov A.  2002.  Explicit equivariant quantization on coadjoint orbits of GL(n,C). Lett. Math. Phys.. 62:17-32.
Kulish P, Mudrov A.  2002.  Quantization of inhomogeneous Lie bialgebras. J. Geom. Phys. 42:64-77.
Donin J, Mudrov A.  2002.  Quantum coadjoint orbits in gl*(n). Cz. J. Phys.. 52:1201-1206.
Donin J, Mudrov A.  2002.  Reflection equation- and FRT-type algebras. Cz. J. Phys.. 52:1207-1212.
Donin J, Mudrov A.  2002.  Uq(sl(n))-invariant quantization of symmetric coadjoint orbits via reflection equation algebra. Contemp. Math.. 315:61-80.
2001
Mudrov A, Varnashev K.  2001.  Critical behavior of certain antiferromagnets with complicated ordering: Four-loop epsilon expansion analysis. Phys. Rev. B. 62:214423.
Mudrov A, Varnashev K.  2001.  Critical thermodynamics of three-dimensional MN component field model with cubic anisotropy from higher-loop epsilon expansion. J. Phys. A: Math. Gen.. 34:L347-L353.
Mudrov A, Varnashev K.  2001.  On critical behavior of certain antiferromagnets with complicated ordering. JETP Letters. 74:279-283.

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