Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-09-10
Lett.Math.Phys. 33 (1995) 231-240
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
10.1007/BF00749624
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.
Bidegain Frédéric
Pinczon Georges
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