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The structure of exponential Weyl algebras

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

Published online by Cambridge University Press:  09 April 2009

P. L. Robinson
P. L. Robinson
Affiliation:
Department of Mathematics, University of Florida, Gainesville, FL 32611, USA
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Abstract

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We present structural properties of the complex associative algebra generated by the canonical commutation relations in exponential form. In particular, we show it to be a central simple algebra that lacks zero divisors and is not Noetherian on either side; in addition, we determine explicitly its units and its automorphisms.

MSC classification

Secondary: 16D30: Infinite-dimensional simple rings (except as in ) 16S35: Twisted and skew group rings, crossed products 16U60: Units, groups of units
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 55 , Issue 3 , December 1993 , pp. 302 - 310
Copyright
Copyright © Australian Mathematical Society 1993

References

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