✦ LIBER ✦

Bilinear Forms, Clifford Algebras, q-Commutation Relations, and Quantum Groups

✍ Scribed by K.C. Hannabuss

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 206 KB
Volume: 228
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8257

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✦ Synopsis

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.