Combinatorics Seminar 2018

Date: Tue, Sep 11, 2018

Time: 09:00 - 11:00

Venue: Room 1106

Title: Spin norm: combinatorics and representations

Abstract:

We will introduce the following three preprints in 2017: arXiv:1702.01876 (joint with Jian Ding), arXiv:1707.01380 and arXiv:1708.00383. As a consequence, for a real reductive Lie group $G(R)$ in the sense of [Adams, van Leeuwen, Trapa and D. Vogan, arXiv:1212.2192], we will report a finiteness theorem for the classification of all the irreducible unitary Harish-Chandra modules (up to equivalence) for $G(R)$ with non-zero Dirac cohomology. In particular, when the rank of $G(R)$ is small, we should be able to obtain the complete classification via atlas.

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