Note on the permutation group associated to E-polynomials

Hirotaka Imamura; Masashi Kosuda; Manabu Oura

Hirotaka Imamura
Masashi Kosuda
Manabu Oura Kanazawa University

Keywords: Centralizer algebra, Permutation group

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.

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