Berezin symbols on Lie groups
Ingrid Beltita, Daniel Beltita, Benjamin Cahen
TL;DR
This paper develops a general framework for Berezin covariant symbols on Lie groups, exploring their properties and connections to representation theory of nilpotent Lie groups.
Contribution
Introduces a unified approach to Berezin symbols on Lie groups and examines their injectivity related to nilpotent Lie group representations.
Findings
Establishes conditions for injectivity of the Berezin symbol map.
Connects Berezin symbols to representation theory of nilpotent Lie groups.
Provides foundational properties of the Berezin covariant symbol framework.
Abstract
In this paper we present a general framework for Berezin covariant symbols, and we discuss a few basic properties of the corresponding symbol map, with emphasis on its injectivity in connection with some problems in representation theory of nilpotent Lie groups.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Topics in Algebra