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Embedding Uq(sl(2)) and Sine Algebras in Generalized Clifford Algebras

โœ Scribed by E. H. EL Kinani; A. Ouarab


Book ID
111530474
Publisher
Springer
Year
2000
Tongue
English
Weight
26 KB
Volume
39
Category
Article
ISSN
0020-7748

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We give a representation-theoretic interpretation of the sine-Gordon equation using the action of affine Kac-Moody algebra sl 2 on the Weyl algebra. In this setup t-functions become functions in non-commuting variables. The skew Casimir operators that we introduce here, give rise to a hierarchy of p