A star-product approach to noncompact quantum groups
Lett.Math.Phys. 33 (1995) 231-240 Using duality and topological theory of well behaved Hopf algebras (as defined in [2]) we construct star-product models of non compact quantum groups from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras of simple Lie algebras. Our star-pro...
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| Zusammenfassung: | Lett.Math.Phys. 33 (1995) 231-240 Using duality and topological theory of well behaved Hopf algebras (as
defined in [2]) we construct star-product models of non compact quantum groups
from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras
of simple Lie algebras. Our star-products act not only on coefficient functions
of finite-dimensional representations, but actually on all $C^\infty$
functions, and they exist even for non linear (semi-simple) Lie groups. |
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| DOI: | 10.48550/arxiv.hep-th/9409054 |