A star-product approach to noncompact quantum groups

Frédéric Bidegain; Georges Pinczon

doi:10.1007/bf00749624

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arXiv · hep-th/9409054

A star-product approach to noncompact quantum groups

Frédéric Bidegain·Georges Pinczon

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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.

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Frédéric Bidegain, Georges Pinczon. 1994-09-10. A star-product approach to noncompact quantum groups. https://doi.org/10.1007/bf00749624

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