A star-product approach to noncompact quantum groups

Abstract

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.

13 pages

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