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1
Intro
2
The functor of points approach
3
Super Harish-Chandra pairs (SHCP)
4
Representations of Supergroups
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Hermitian and Super Hermitian products V: complex super vector space Definition() is a super hermitian product on Vif
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Unitary representations of Lie superalgebras
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Important case: Harish-Chandra representations
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Infinitesimal Harish-Chandra highest weight unitary representations
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Admissible Positive Systems
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Geometric realizations of HC Unitary Representations
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Super Iwasawa Decomposition
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Geometric Quantization
13
Super Quantization/2
Description:
Explore super quantization in this 50-minute lecture by Rita Fioresi from the Universita' di Bologna, part of the Workshop on Supergeometry and Bracket Structures in Mathematics and Physics. Delve into the functor of points approach, super Harish-Chandra pairs, and representations of supergroups. Examine hermitian and super hermitian products, unitary representations of Lie superalgebras, and infinitesimal Harish-Chandra highest weight unitary representations. Investigate admissible positive systems, geometric realizations of HC unitary representations, super Iwasawa decomposition, and geometric quantization. Gain insights into the intricate world of super quantization and its applications in mathematics and physics.

Super Quantization

Fields Institute
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