Unitary Harish-Chandra representations of real supergroups
C. Carmeli, R. Fioresi, V.S. Varadarajan
TL;DR
This paper establishes conditions under which Harish-Chandra super modules for Lie supergroups and superalgebras can be unitarized, advancing the understanding of their representation theory.
Contribution
It provides new criteria for the unitarizability of Harish-Chandra super modules, a key step in classifying unitary representations of real supergroups.
Findings
Derived conditions for unitarizability of super modules
Enhanced understanding of representation theory for Lie supergroups
Framework for future classification of unitary super representations
Abstract
We give conditions for unitarizability of Harish-Chandra super modules for Lie supergroups and superalgebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Topics in Algebra