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Regular * representations of lie algebras

par Cahen, Michel ;Gutt, Simone
Référence letters in mathematical physics, 6, 5, page (395-404)
Publication Publié, 1982-09

Article révisé par les pairs

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Résumé :

We prove the existence of a * product on the cotangent bundle of a parallelizable manifold M. When M is a Lie group the properties of this * product allow us to define a linear representation of the Lie algebra of this group on L2(G), which is, in fact, the one corresponding to the usual regular representation of G. © 1982 D. Reidel Publishing Company.