Deformation Quantization of the n-tuple Point |
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Authors: | S A Merkulov |
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Institution: | (1) Department of Mathematics, University of Glasgow, 15 University Gardens, Glasgow G12 8QW, UK, UK |
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Abstract: | Contrary to the classical methods of quantum mechanics, the deformation quantization can be carried out on phase spaces which
are not even topological manifolds. In particular, the Moyal star product gives rise to a canonical functor F from the category of affine analytic spaces to the category of associative (in general, non-commutative) ℂ-algebras. Curiously,
if X is the n-tuple point, x
n
=0, then F(X) is the algebra of n×n matrices.
Received: 4 November 1998 / Accepted: 3 March 1999 |
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Keywords: | |
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