Isomorphisms of fusion subcategories on permutation algebras

TL;DR

This paper establishes two isomorphisms between categories related to Brauer pairs on p-permutation N-interior G-algebras, advancing the understanding of their structural relationships.

Contribution

It introduces two new categorical isomorphisms involving Brauer pairs on p-permutation N-interior G-algebras, providing deeper insights into their algebraic structure.

Findings

Proved two isomorphisms of categories involving Brauer pairs

Enhanced understanding of p-permutation N-interior G-algebras

Contributed to the theory of algebraic category isomorphisms

Abstract

We prove two isomorphisms of categories involving Brauer pairs on $p$-permutation $N$-interior $G$-algebras.