J Austral Math Soc Ser A 55 pp302--310, 1993.

The Structure of Exponential Weyl Algebras

P. L. Robinson

(Received 26 April 1991)

Abstract

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.

1991 AMS Subject Classification: 16D30, 16S35, 16U60

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Authors

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

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Last Modified: Fri Jan 10 8:53:39 2003