Representations of the quantum torus and applications to finitely presented groups

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.

arXiv comment37 pages: some minor corrections and a reference to recent material

Cited by in corpus (2)

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