Subduction coefficients of Brauer algebras and Racah coefficients of O(n) andSp(2m): II. Racah coefficients

Abstract

Irreducible representations of Brauer algebras are discussed in the non-standard basis. A method for evaluating subduction coefficients (SDCs), i.e. the transformation coefficients between standard and non-standard bases of Brauer algebras, is outlined. Non-trivial SDCs of for are derived. Racah coefficients of O(n) and Sp(2m) can be derived from subduction coefficients of Brauer algebras by using the Schur - Weyl duality relation between and O(n) or Sp(2m).