English

Hecke symmetries and characteristic relations on Reflection Equation algebras

q-alg 2008-02-03 v2 Quantum Algebra

Abstract

We discuss how properties of Hecke symmetry (i.e., Hecke type R-matrix) influence the algebraic structure of the corresponding Reflection Equation (RE) algebra. Analogues of the Newton relations and Cayley-Hamilton theorem for the matrix of generators of the RE algebra related to a finite rank even Hecke symmetry are derived.

Keywords

Cite

@article{arxiv.q-alg/9605048,
  title  = {Hecke symmetries and characteristic relations on Reflection Equation algebras},
  author = {D. I. Gurevich and P. N. Pyatov and P. A. Saponov},
  journal= {arXiv preprint arXiv:q-alg/9605048},
  year   = {2008}
}

Comments

11 pages, LaTeX file, reference to preprint No. added