Subduction coefficients of Birman-Wenzl algebras and Racah coefficients of the quantum groups Oq(n) and Spq(2m): I. Subduction coefficients

Document Type

Article

Publication Date

8-31-2001

Abstract

Irreducible representations of Birman-Wenzl algebras Cf(r, q) in the non-standard basis are discussed. A procedure for evaluating subduction coefficients (SDCs), or the transformation coefficients between standard and non-standard basis of Birman-Wenzl algebras, is formulated based on the linear equation method. SDCs of Cf(r, q) with f ≤ 4 are derived. Racah coefficients of the quantum groups Oq(n) and Spq(2m) can be obtained from SDCs of Birman-Wenzl algebras Cf(r, q) by using the Schur-Weyl-Brauer duality relation between Birman-Wenzl algebras Cf(r, q) and the quantum groups Oq(n) and Spq(2m).

Publication Source (Journal or Book title)

Journal of Physics A Mathematical and General

First Page

6585

Last Page

6593

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