Representations of the quantum torus and applications to finitely presented groups. arXiv:0711.2466
Preprint, arXiv:0711.2466 [math.RT] (2007).
Summary: 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.
MSC:
| 16S35 | Twisted and skew group rings, crossed products |
| 20F05 | Generators, relations, and presentations of groups |
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