Faddeev L.D., Pyatov P.N., “The differential calculus on quantum linear groups”, AMS Translations – Series 2, 175:2 (1996), 35–47
D.Gurevich, P.N. Pyatov, P.A. Saponov, “Hecke symmetries and characteristic relations on reflection equation algebra”, Letters in Mathematical Physics, 41 (1997), 255–264
P.N. Pyatov, “Raise and Peel Models of fluctuating interfaces and combinatorics of Pascal's hexagon”, Journal of Statistical Mechanics: Theory and Experiment, 2004, P09003, 30 pp.
Gurevich D.I., Pyatov P.N., Saponov P.A., “Kvantovye matrichnye algebry $GL(m|n)$ tipa: struktura kharakteristicheskoi podalgebry i ee spektralnaya parametrizatsiya”, Teoreticheskaya i matematicheskaya fizika, 147:1 (2006), 14–46
Isaev A.P., Pyatov P.N., “Spectral extension of the quantum group cotangent bundle”, Communications in Mathematical Physics, 288:3 (2009), 1137–1179
Pavel Pyatov, Anastasia Trofimova, “Representations of finite-dimensional quotient algebras of the $3$-string braid group”, Mosc. Math. J., 21:2 (2021), 427–442
2009
2.
D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Spectral parameterization for power sums of a quantum supermatrix”, TMF, 159:2 (2009), 207–219; Theoret. and Math. Phys., 159:2 (2009), 587–597
D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Representation theory of (modified) Reflection Equation Algebra of $GL(m|n)$ type”, Algebra i Analiz, 20:2 (2008), 70–133; St. Petersburg Math. J., 20:2 (2009), 213–253
D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Quantum matrix algebras of the $GL(m|n)$ type: The structure and spectral parameterization of the characteristic subalgebra”, TMF, 147:1 (2006), 14–46; Theoret. and Math. Phys., 147:1 (2006), 460–485
D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Cayley–Hamilton theorem for quantum matrix algebras of type $\mathrm{GL}(m\mid n)$”, Algebra i Analiz, 17:1 (2005), 160–182; St. Petersburg Math. J., 17:1 (2006), 119–135
A. P. Isaev, O. V. Ogievetskii, P. N. Pyatov, “On R-Matrix Representations of Birman–Murakami–Wenzl Algebras”, Trudy Mat. Inst. Steklova, 246 (2004), 147–153; Proc. Steklov Inst. Math., 246 (2004), 134–141
P. N. Pyatov, P. A. Saponov, “Notes on the differential calculi on quantum linear groups”, TMF, 100:1 (1994), 148–152; Theoret. and Math. Phys., 100:1 (1994), 912–915