Representations of tensor categories coming from quantum linear spaces

TL;DR

This paper classifies exact indecomposable module categories over tensor categories derived from Hopf algebras that lift quantum linear spaces, advancing understanding of their representation theory.

Contribution

It provides a complete classification of module categories for a new class of tensor categories associated with quantum linear space liftings.

Findings

Classification of indecomposable module categories achieved

Enhanced understanding of tensor categories from quantum linear spaces

Framework for future studies in quantum algebra representations

Abstract

Exact indecomposable module categories over the tensor category of representations of Hopf algebras that are liftings of quantum linear spaces are classified.