H*-algebras and quantization of para-Hermitian spaces

Gerrit van Dijk (1) , Michael Pevzner (2)

1 Mathematish Instituut
2 LMR - Laboratoire de Mathématiques de Reims

In the present note we describe a family of H*-algebra structures on the set L2(X) of square integrable functions on a rank-one para-Hermitian symmetric space X.

Mots clés: Quantization; para-Hermitian symmetric spaces; Hilbert algebras.; Hilbert algebras

Domaines: Théorie des représentations [math.RT]

Gerrit van Dijk, Michael Pevzner. H*-algebras and quantization of para-Hermitian spaces. Proceedings of the American Mathematical Society, 2008, 136, pp.2253-2260. ⟨hal-00163170⟩