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MODULES OVER QUANTUM LAURENT POLYNOMIALS

Part of: Rings and algebras arising under various constructions Modules, bimodules and ideals

Published online by Cambridge University Press:  19 March 2012

ASHISH GUPTA
ASHISH GUPTA*
Affiliation:
Department of Mathematics and Statistics, University of Melbourne, VIC 3010, Australia (email: [email protected])
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Abstract

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We show that the Gelfand–Kirillov dimension for modules over quantum Laurent polynomials is additive with respect to tensor products over the base field. We determine the Brookes–Groves invariant associated with a tensor product of modules. We study strongly holonomic modules and show that there are nonholonomic simple modules.

Keywords

quantum polynomialquantum torusskew Laurent extension

MSC classification

Secondary: 16S35: Twisted and skew group rings, crossed products 16D60: Simple and semisimple modules, primitive rings and ideals
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 91 , Issue 3 , December 2011 , pp. 323 - 341
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

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