PP
Pavel Pyatov
math.QAmath.MPmath-phcond-mat.stat-mechhep-thmath.COmath.RTmath.RAq-algcond-mat.soft
On Valency
published · living versionsW_87knbbp3·v1 · currentpublished
Preprints & journals
29 papers in the corpus · 1992–2026Iterative construction of the R-matrices in arbitrary dimensions2609.06274v2 · Petr Pivovarov, Pavel Pyatov2026 · 0 citationsarXiv
Cayley--Hamilton Theorem for Orthogonal Quantum Matrix Algebras2511.12282v1 · Oleg Ogievetsky, Pavel Pyatov2025 · 0 citationsarXiv
Reciprocal relations for orthogonal quantum matrices2510.09811v1 · Pavel Pyatov, Oleg Ogievetsky2025 · 0 citationsarXiv
Representations of Hecke algebras and Markov dualities for interacting particle systems2212.12944v1 · Alexander Povolotsky, Pavel Pyatov, Roger Tribe et al.2022 · 3 citationsAnnales de l'Institut Henri Poincare (B) Probabilites et statistiques (Vol. 61, No. 2, pp. 967-1020). Institut Henri Poincar\'e (2025)
Cayley-Hamilton Theorem for Symplectic Quantum Matrix Algebras2012.14014v1 · O. Ogievetsky, P. Pyatov2020 · 4 citationsarXiv
Quantum Matrix Algebras of BMW type: Structure of the Characteristic Subalgebra1910.08551v1 · Oleg Ogievetsky, Pavel Pyatov2019 · 6 citationsarXiv
Representations of finite-dimensional quotient algebras of the 3-string braid group1808.06395v2 · Pavel Pyatov, Anastasia Trofimova2018 · 0 citationsarXiv
Large deviations of avalanches in the raise and peel model1802.01555v2 · Alexander M. Povolotsky, Pavel Pyatov, Vladimir Rittenberg2018 · 1 citationJ. Stat. Mech. (2018) 053107
On construction of unitary quantum group differential calculus1504.04442v1 · Pavel Pyatov2015 · 2 citationsarXiv
Stochastic processes with Z_N symmetry and complex Virasoro representations. The partition functions1407.2014v2 · Francisco C. Alcaraz, Pavel Pyatov, Vladimir Rittenberg2014 · 1 citationJ. Phys. A: Math. Theor. 47 (2014) 462001
Braided Weyl algebras and differential calculus on U(u(2))1112.6258v1 · D. Gurevich, P.Pyatov, P.Saponov2011 · 20 citationsarXiv
Braided Differential Operators on Quantum Algebras1004.4721v2 · D. Gurevich, P. Pyatov, P. Saponov2010 · 14 citationsarXiv
Bilinear identities on Schur symmetric functions0907.4292v2 · Dimitry Gurevich, Pavel Pyatov, Pavel Saponov2009 · 2 citationsarXiv
Two-component Abelian sandpile models.19518280 · Alcaraz, F C, Pyatov, P, Rittenberg, V2009 · 6 citationsPhysical review. E, Statistical, nonlinear, and soft matter physics. 2009;79(4 Pt 1):042102
Spectral extension of the quantum group cotangent bundle0812.2225v1 · A. Isaev, P. Pyatov2008 · 24 citationsarXiv
Punctured plane partitions and the q-deformed Knizhnik--Zamolodchikov and Hirota equations0712.3584v2 · Jan de Gier, Pavel Pyatov, Paul Zinn-Justin2007 · 20 citationsJ. Combin. Theory A 116 (2009), 772--794
Factorised solutions of Temperley-Lieb KZ equations on a segment0710.5362v1 · Jan de Gier, Pavel Pyatov2007 · 11 citationsAdv. Theor. Math. Phys. 14 (2010), 795-877
Density profiles in the raise and peel model with and without a wall. Physics and combinatorics0709.4575v2 · Francisco C. Alcaraz, Pavel Pyatov, Vladimir Rittenberg2007 · 14 citationsJ. Stat. Mech. (2008) P01006
Representation theory of (modified) Reflection Equation Algebra of GL(m|n) typemath/0612815v2 · D. Gurevich, P. Pyatov, P. Saponov2006 · 34 citationsarXiv
Magic in the spectra of the XXZ quantum chain with boundaries at Delta=0 and Delta=-1/2hep-th/0505062v2 · Jan de Gier, Alexander Nichols, Pavel Pyatov et al.2005 · 84 citationsNucl.Phys.B729:387-418,2005
Raise and Peel Models of fluctuating interfaces and combinatorics of Pascal's hexagonmath-ph/0406025v2 · Pavel Pyatov2004 · 23 citationsJSTAT (2004) P09003
Bethe Ansatz for the Temperley-Lieb loop model with open boundarieshep-th/0312235v2 · Jan de Gier, Pavel Pyatov2003 · 49 citationsJ.Stat.Mech.0403:P03002,2004
Diffusion algebrascond-mat/0103603v2 · A. P. Isaev, P. N. Pyatov, V. Rittenberg2001 · 61 citationsarXiv
Quantum matrix algebra for the SU(n) WZNW modelhep-th/0003210v4 · P. Furlan, L.K. Hadjiivanov, A.P. Isaev et al.2000 · 21 citationsJ.Phys.A36:5497-5530,2003
Generalized Cayley-Hamilton-Newton identitiesmath/9809047v1 · A. Isaev, O. Ogievetsky, P. Pyatov1998 · 39 citationsarXiv
Hecke algebraic properties of dynamical R-matrices. Application to related quantum matrix algebrasq-alg/9712026v1 · L.K.Hadjiivanov, A.P.Isaev, O.V.Ogievetsky et al.1997 · 30 citationsJ.Math.Phys. 40 (1999) 427-448
Hecke symmetries and characteristic relations on Reflection Equation algebrasq-alg/9605048v2 · D.I.Gurevich, P.N.Pyatov, P.A.Saponov1996 · 56 citationsarXiv
The Differential Calculus on Quantum Linear Groupshep-th/9402070v2 · L. D. Faddeev, P. N. Pyatov1994 · 32 citationsAm.Math.Soc.Transl. 175 (1996) 35-47
GLq(N)-Covariant Quantum Algebras and Covariant Differential Calculushep-th/9211093v1 · A.P.Isaev, P.N.Pyatov1992 · 30 citationsPhys.Lett.A179:81-90,1993
Career total: 84 works. 29 are in this corpus.
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