Representations of the quantum torus and applications to finitely presented groups

Mathematics – Representation Theory

Scientific paper

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

Scientific paper

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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