Tensor ideals and varieties for modules of quantum elementary abelian\n groups

2013/12/18 by Julia Pevtsova, Pevtsova, Julia, Sarah Witherspoon +1
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1312.5232

openalex publication_date 2013/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a previous paper we constructed rank and support variety theories for\n"quantum elementary abelian groups," that is, tensor products of copies of Taft\nalgebras. In this paper we use both variety theories to classify the thick\ntensor ideals in the stable module category, and to prove a tensor product\nproperty for the support varieties.\n

Related

• Tensor ideals for quantum groups via minimal tilting complexes
• Tensor ideals of abelian type and quantum groups
• On support varieties and tensor products for finite dimensional algebras
• Varieties for Modules of Quantum Elementary Abelian Groups
• Tensor Triangular Geometry for Quantum Groups