Note on the permutation group associated to E-polynomials

Year 2022, Volume: 9 Issue: 1, 1 - 7, 15.01.2022

Hirotaka Imamura Masashi Kosuda Manabu Oura

https://doi.org/10.13069/jacodesmath.1056485

https://izlik.org/JA47SU38GH

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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