Pavel Nikolaevich Pyatov

Publications⁴⁰

• Article Ogievetsky O., Pyatov P. N. Cayley–Hamilton theorem for symplectic quantum matrix algebras // Journal of Geometry and Physics. 2021. Vol. 165. Article 104211. doi
• Article Ogievetsky O., Pyatov P. N. Quantum Matrix Algebras of BMW type: Structure of the Characteristic Subalgebra // Journal of Geometry and Physics. 2021. Vol. 162. Article 104086. doi
• Article Pyatov P. N., Trofimova A. Representations of finite-dimensional quotient algebras of the 3-string braid group // Moscow Mathematical Journal. 2021. Vol. 21. No. 2. P. 427-442. doi
• Preprint Pyatov P. N., Ogievetsky O. Cayley-Hamilton Theorem for Symplectic Quantum Matrix Algebras / Cornell University. Series math "arxiv.org". 2020.
• Preprint Ogievetsky O., Pyatov P. N. Quantum Matrix Algebras of BMW type: Structure of the Characteristic Subalgebra / Cornell University. Series math "arxiv.org". 2019. No. arXiv:1910.08551 .
• Article Pavel Pyatov, Povolotsky A. M., Rittenberg V. Large deviations of avalanches in the raise and peel model // Journal of Statistical Mechanics: Theory and Experiment. 2018. Vol. 2018. No. 053107. P. 1-26. doi
• Preprint Pavel Pyatov, Anastasia Trofimova. Representations of finite-dimensional quotient algebras of the 3-string braid group / Cornell University Library. Series math.RT "arXiv:1808.06395 [math.RT]". 2018.
• Article Pyatov P. N. On the construction of unitary quantum group differential calculus // Journal of Physics A: Mathematical and Theoretical. 2016. Vol. 49. No. 41. P. 415202-(25pp). doi
• Preprint Pyatov P. N. On construction of unitary quantum group differential calculus / Cornell University. Series "Working papers by Cornell University". 2015. No. 1504.04442 [math.QA].
• Article Francisco C. Alcaraz, Pavel Pyatov, Rittenberg V. Stochastic processes with $Z_N$ symmetry and complex Virasoro representations. The partition functions. // Journal of Physics A: Mathematical and Theoretical. 2014. Vol. 47. No. 46. P. 462001. doi
• Article Pyatov P. N., Gurevich D., Saponov P. A. Braided Weyl algebras and differential calculus on U(u(2)) // Journal of Geometry and Physics. 2012. Vol. 62. No. 5. P. 1175-1188. doi
• Article Gurevich D., Saponov P. A., Pyatov P. N. Braided differential operators on quantum algebra // Journal of Geometry and Physics. 2011. Vol. 61. P. 1485-1501.
• Article Gurevich D., Pyatov P. N., Saponov P. A. Bilinear identities on Schur symmetric functions // Journal of Nonlinear Mathematical Physics. 2010. Vol. 17. No. supp01. P. 31-48. doi
• Article Pyatov P. N., de Gier J. Factorized solutions of Temperley-Lieb qKZ equations on a segment // Advances in Theoretical and Mathematical Physics. 2010. Vol. 14. No. 3. P. 795-877.
• Article Pyatov P. N., de Gier J., Zinn-Justin P. Punctured plane partitions and the q-deformed Knizhnik--Zamolodchikov and Hirota equations // Journal of Combinatorial Theory, Series A. 2009. Vol. 116. P. 772-794.
• Article Gurevich D., Pyatov P. N., Saponov P. A. Representation theory of (modified) Reflection Equation Algebra of GL(m|n) type // St Petersburg Mathematical Journal. 2009. Vol. 20. P. 213-253.
• Article Isaev A. P., Pyatov P. N. Spectral extension of the quantum group cotangent bundle // Communications in Mathematical Physics. 2009. Vol. 288. P. 1137-1179. doi
• Article Gurevich D., Pyatov P. N., Saponov P. A. Spectral parameterization for power sums of a quantum supermatrix // Theoretical and Mathematical Physics. 2009. Vol. 159. P. 587-597.
• Article Alcaraz F. C., Pyatov P. N., Rittenberg V. Two-component abelian sandpile models // Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2009. Vol. 79. P. 1-4.
• Article Alcaraz F. C., Pyatov P. N., Rittenberg V. Density profiles in the raise and peel model with and without a wall. Physics and combinatorics // Journal of Statistical Mechanics: Theory and Experiment. 2008. Vol. P01006. P. 1-38.
• Article Gurevich D., Pyatov P. N., Saponov P. A. Reflection equation algebra in braided geometry // Journal of Generalized Lie Theory and Applications. 2008. Vol. 2. No. 3. P. 162-174.
• Article Пятов П. Н., Гуревич Д. И., Сапонов П. А. Теория представлений алгебры (модифицированного) уравнения отражений GL(m|n) типа // Алгебра и анализ. 2008. Т. 20. № 2. С. 70-133.
• Article Гуревич Д. И., Пятов П. Н., Сапонов П. А. Квантовые матричные алгебры GL(m|n) типа: структура характеристической подалгебры и ее спектральная параметризация  // Теоретическая и математическая физика. 2006. Т. 147. № 1. С. 14-46.
• Article de Gier J., Nichols А., Pyatov P. N., Rittenberg V. Magic in the spectra of the XXZ quantum chain with boundaries at Δ=0 and Δ=-1/2 // Nuclear Physics B. 2005. Vol. 729. No. 3. P. 387-418.
• Article Гуревич Д. И., Пятов П. Н., Сапонов П. А. Теорема Кэли-Гамильтона для квантовых матричных алгебр GL(m|n) типа  // Алгебра и анализ. 2005. Т. 17. № 1. С. 160-182.
• Article Pyatov P. N., de Gier J. Bethe ansatz for the Temperley-Lieb loop model with open boundaries // Journal of Statistical Mechanics: Theory and Experiment. 2004. No. P03002
• Article Pyatov P. N. Raise and Peel Models of fluctuating interfaces and combinatorics of Pascal's hexagon // Journal of Statistical Mechanics: Theory and Experiment. 2004. No. P09003. P. 1-30.
• Article Twarock R., Pyatov P. N. Construction of diffusion algebras  // Journal of Mathematical Physics. 2002. Vol. 43. P. 3268.
• Article Isaev A. P., Pyatov P. N., Rittenberg V. Diffusion algebras // Journal of Physics A: Mathematical and Theoretical. 2001. Vol. 34
• Article Ogievetsky O., Pyatov P. N. Dynamical Cremmer-Gervais R-matrix // Physics of Atomic Nuclei. 2001. Vol. 64
• Article Isaev A. P., Hajiivanov L., Todorov I., Ogievetsky O., Pyatov P. N. Hecke algebraic properties of dynamical R-matrices. Application to related quantum matrix algebras // Mathematical Physics Analysis and Geometry. 1999. Vol. 40. P. 427-448.
• Article Pyatov P. N., Isaev A. P., Ogievetsky O. On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities // Journal of Physics A: Mathematical and Theoretical. 1999. Vol. 32. P. 115-121.
• Article Isaev A. P., Ogievetsky O., Pyatov P. N. Generalized Cayley-Hamilton-Newton identities // Czechoslovak Journal of Physics. 1998. Vol. 48. No. 11. P. 1369-1374.
• Article Pyatov P. N., Gurevich D., Saponov P. A. Hecke symmetries and characteristic relations on reflection equation algebra // Letters in Mathematical Physics. 1997. Vol. 41. P. 255-264.
• Article Pyatov P. N., Faddeev L. The differential calculus on quantum linear groups // Transactions of the American Mathematical Society. 1996. Vol. 175. No. 2. P. 35-47.
• Article Pyatov P. N., Saponov P. A. Characteristic relations for quantum matrices // Journal of Physics A: Mathematical and Theoretical. 1995. Vol. 28. P. 4415-4421.
• Article Isaev A. P., Pyatov P. N. Covariant differential complexes on quantum linear groups  // Journal of Physics A: Mathematical and Theoretical. 1995. Vol. 28. P. 2227-2246.
• Article Isaev A. P., Pyatov P. N. GLq(N)-covariant quantum algebras and covariant differential calculus  // Physics Letters A. 1993. Vol. 179. P. 81-90.
• Article Razumov A., Pyatov P. N., Nirov K. Gauge invariance and constraints: open gauge algebras // International Journal of Modern Physics A. 1992. Vol. A7. P. 5549-5561.
• Article Разумов А., Пятов П. Н. Gauge invariance and constraints  // International Journal of Modern Physics A. 1989. Т. A4