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Stratonovich-Weyl correspondence via Berezin quantization
Cahen, Benjamin
2014-12-23
Abstract
Let G be a quasi-Hermitian Lie group and let K be a maximal compactly embedded subgroup of G. Let π be aunitary representation of G which is holomorphically induced from a unitary representation ρ of K. We introduce and study a notion of complex-valued Berezin symbol for an operator acting on the space of π and the corresponding notion of Stratonovich-Weyl correspondence. This generalizes some results already obtained in the case when ρ is an unitary character, see [19]. As an example, we treat in detail the case of the Heisenberg motion groups.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
46 (2014)
Languages
en
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