XXXIX Workshop on Geometric Methods in Physics 19.06–25.06.2022
XI School on Geometry and Physics 27.06–1.07.2022
In order to secure the right conditions for our Workshop we have decided to exceptionally move (only for this year's meeting) the site of our Workshop to the campus of our University in Białystok.

Daniel Beltita


Quantization and enveloping algebras of Lie groups


We discuss associative algebras whose representations can be used for parameterizing the representations of a given Lie group, with emphasis on the algebra of invariant differential operators and on the group $C^*$-algebra. Special attention is paid to the question of whether certain Lie groups can be recovered from their corresponding associative algebras. We also consider the way these associative algebras are related to the canonical Poisson structures on the dual spaces of the Lie algebras under consideration, which bears on the construction of Lie group representations by the method of geometric quantization.







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University
of Bialystok
University of Bialystok






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