2013arXiv (Cornell University)Open access

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

Julia Pevtsova, Sarah Witherspoon

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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

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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

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Available 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

Key concepts: Tensor product, Variety (cybernetics), Abelian group, Pure mathematics, Tensor (intrinsic definition), Mathematics, Rank (graph theory), Tensor product of modules

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