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arXiv · 2003.05543

Partial Dirac Cohomology and Tempered Representations

Meng-Kiat Chuah·Jing-Song Huang·Joseph A. Wolf
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Abstract

The tempered representations of a real reductive Lie group $G$ are naturally partitioned into series associated with conjugacy classes of Cartan subgroups $H$ of $G$. We define partial Dirac cohomology, apply it for geometric construction of various models of these $H$--series representations, and show how this construction fits into the framework of geometric quantization and symplectic reduction.

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Meng-Kiat Chuah, Jing-Song Huang, Joseph A. Wolf. 2020-03-11. Partial Dirac Cohomology and Tempered Representations. https://arxiv.org/abs/2003.05543

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