Cayley-Hamilton theorem for symplectic quantum matrix algebras

JOURNAL OF GEOMETRY AND PHYSICS

卷:165

Article

Ogievetsky, Oleg^1,2,3  Pyatov, Pavel^4,5 

[1] Aix Marseille Univ, Univ Toulon, CNRS, CPT UMR 7332, F-13288 Marseille, France

[2] PN Lebedev Phys Inst, IE Tamm Dept Theoret Phys, Leninsky Prospekt 53, Moscow 119991, Russia

[3] RAS, Inst Informat Transmiss Problems, Moscow, Russia

[4] HSE Univ, 20 Myasnitskaya St, Moscow 101000, Russia

[5] JINR, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia

关键词: Symplectic quantum groups;    Cayley-Hamilton theorem;    Birman-Murakami-Wenzl algebras;    R-matrix;   

DOI  :  10.1016/j.geomphys.2021.104211

来源: Elsevier

【 摘 要 】

We establish the analogue of the Cayley-Hamilton theorem for the quantum matrix algebras of the symplectic type. We construct the algebra in which the quantum characteristic polynomial acquires a factorized form. The low-dimensional examples and the classical limit are discussed. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free