Note on the permutation group associated to E-polynomials

Abstract

This is a continuation of our project which focuses on E-polynomials and the related combinatorics. A pair of groups appearing in the definition of E-polynomials yields the permutation group. In this paper, we determine the multi-matrix structures of the centralizer algebras of the tensor representations of this permutation group.

Keywords

• Centralizer algebra
• Permutation group
• Algebra

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