Blocks of the truncated $q$-Schur algebras of type A

TL;DR

This paper classifies the blocks of truncated q-Schur algebras of type A with arbitrary cosaturated sets of partitions as their weight posets, advancing understanding of their algebraic structure.

Contribution

It provides a complete classification of blocks for these algebras with general weight posets, extending previous results to more complex cases.

Findings

Classification of blocks with arbitrary cosaturated sets of partitions

Extension of known results to broader weight posets

Enhanced understanding of algebraic structure of truncated q-Schur algebras

Abstract

This paper classifies the blocks of the truncated $q$-Schur algebras of type $A$ which have as weight poset an arbitrary cosaturated set of partitions.