Title: Crossed Products and Multiplicative Analogues of Weyl Algebras
Abstract:We consider a class of algebras (defined via multiplicative commutators) which generalise the 'canonical commutation relation' xy = λyx of quantum mechanics. The corresponding algebras defined via add...We consider a class of algebras (defined via multiplicative commutators) which generalise the 'canonical commutation relation' xy = λyx of quantum mechanics. The corresponding algebras defined via additive commutators are closely related to the Weyl algebras. We show that these multiplicative algebras behave very differently from the Weyl algebras, and use them to give examples of hereditary Noetherian affine algebras of large Gelfand-Kirillov dimension.Read More
Publication Year: 1988
Publication Date: 1988-08-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 112
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