A star-product approach to noncompact quantum groups

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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.

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