Dirac index of some unitary representations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>S</mml:mi><mml:mi>p</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and SO⁎(2n)-Reference-Cited by-同舟云学术

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Dirac index of some unitary representations of Sp(2n,R) and SO⁎(2n)

Published:2022-08 Issue: Volume:603 Page:1-37
ISSN:0021-8693
Container-title:Journal of Algebra
language:en
Short-container-title:Journal of Algebra

Author:

Dong Chao-Ping,Wong Kayue Daniel^ORCID

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference34 articles.

1. Unitary representations of real reductive groups;Adams;Astérisque,2020

2. The unitary dual for complex classical Lie groups;Barbasch;Invent. Math.,1989

3. Dirac series for complex classical Lie groups;Barbasch;Adv. Math.,2022

4. Dirac cohomology of unipotent representations of Sp(2n,R) and U(p,q);Barbasch;J. Lie Theory,2015

5. Twisted Dirac index and applications to characters;Barbasch,2019

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1. Dirac series of E7(7);Israel Journal of Mathematics;2024-09-03

2. Dirac series of E7(−25);Journal of Algebra;2023-01

3. Dirac series of E7(−5);Indagationes Mathematicae;2023-01

4. A Non-vanishing Criterion for Dirac Cohomology;Transformation Groups;2022-08-22

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