Cell Structure of Bimodules over Radical Square Zero Nakayama Algebras

TL;DR

This paper provides a detailed combinatorial description of the cell structure in the tensor category of bimodules over radical square zero Nakayama algebras, clarifying the organization of these bimodules.

Contribution

It offers an explicit combinatorial characterization of the left, right, and two-sided cells in this tensor category, advancing understanding of their algebraic structure.

Findings

Explicit description of left, right, and two-sided cells

Combinatorial framework for bimodule categorization

Enhanced understanding of Nakayama algebra bimodule structures

Abstract

We describe the combinatorics of the cell structure of the tensor category of bimodules over a radical square zero Nakayama algebra. This accounts to an explicit description of left, right, and two-sided cells.