Orthogonal and Symplectic Quantum Matrix Algebras and Cayley-Hamilton Theorem for them.pdf

arXiv: v1 25 Nov 2005
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Abstract
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Contents
1 Introduction 2
2 Some facts about Birman-Murakami-Wenzl algebras 5
Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Baxterized elements, (anti)symmetrizers and contractors . . . . . . . . . . . . . . . . . 7
3 R-matrices 12
Definition and notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
R-technique . . . . . . . . . . . . .