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Spin norm: combinatorics and representations

发布人:日期:2018年10月08日 13:52浏览数:

报告题目:Spin norm: combinatorics and representations

报 告 人:董超平(湖南大学副教授)

报告时间:2018年10月9日 15:00

报告地点:数统院307学术报告厅

报告摘要:

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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