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math.QADec 27, 2020
4
citations (OpenAlex)
authors
  • O. Ogievetsky
  • P. Pyatov
institutions
  • Aix-Marseille Université
  • Centre de Physique Théorique
  • Centre National de la Recherche Scientifique
  • Institute for Information Transmission Problems
  • National Research University Higher School of Economics
  • P.N. Lebedev Physical Institute of the Russian Academy of Sciences
  • Université de Toulon
arXiv abstractPDF
paper

Cayley-Hamilton Theorem for Symplectic Quantum Matrix Algebras

arXiv:2012.14014 · doi:10.1016/j.geomphys.2021.104211

Abstract

We establish the analogue of the Cayley--Hamilton theorem for the quantum matrix algebras of the symplectic type.

arXiv commentarXiv admin note: text overlap with arXiv:math/0511618

References in corpus (9)

  • Algebraic Structures Related to Reflection Equations
  • On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities
  • Generalized Cayley-Hamilton-Newton identities
  • Orthogonal and Symplectic Quantum Matrix Algebras and Cayley-Hamilton Theorem for them
  • Cayley-Hamilton theorem for quantum matrix algebras of GL(m|n) type
  • Classical Isomorphisms for Quantum Groups
  • Cayley-Hamilton-Newton identities and quasitriangular Hopf algebras
  • Geometry of non-commutative orbits related to Hecke symmetries
  • On R-matrix representations of Birman-Murakami-Wenzl algebras
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