Representations of the quantum torus and applications to finitely presented groups

2007/11/15 by C. J. B. Brookes, J. R. J. Groves, Brookes, C. J. B. +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum many-body systems #Rings, Modules, and Algebras #math.GR #math.RT #msc:16S35 #msc:20F05

paper · pdf · doi:10.48550/arxiv.0711.2466

37 pages: some minor corrections and a reference to recent material

arxiv created 2011/12/05 · arxiv updated 2011/12/06

Abstract

A structure theorem is proved for strongly holonomic modules over a quantum torus (a crossed product of a field with a free abelian group in which the field is central). This can be applied to give a structure theorem for finitely presented abelian-by-nilpotent groups.

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• The krull and global dimension of the tensor product of n-dimensional quantum tori

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