Bilinear forms, Clifford algebras, $q$-commutation relations, and quantum groups
- Constructions are described which associate algebras to arbitrary bilinear forms, generalising the usual Clifford and Heisenberg algebras. Quantum groups of symmetries are discussed, both as deformed enveloping algebras and as quantised function spaces. A classification of the equivalence classes of bilinear forms is also given. © 2000 Academic Press.
- Publication status:
- Peer review status:
- Peer reviewed
- Publisher version
- Copyright holder:
- Elsevier B.V.
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mrclass: 15A63 (15A66 17B37 20G42 81S05)
mrnumber: 1760963 (2001g:15030)
mrreviewer: Carl Riehm
Copyright 2000 Academic Presss. Published by Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
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