On the Dirac series of \(U(p, q)\)
From MaRDI portal
Publication:2031741
DOI10.1007/s00209-020-02641-2OpenAlexW3093903801MaRDI QIDQ2031741
Kayue Daniel Wong, Chao-Ping Dong
Publication date: 10 June 2021
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.07165
Related Items
Dirac index of some unitary representations of \(Sp(2n, \mathbb{R})\) and \(SO^{\ast} (2n)\), Dirac series for \(E_{6(-14)}\)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Jacquet modules and Dirac cohomology
- Dirac cohomology of some Harish-Chandra modules
- Criteria for the unitarizability of some highest weight modules
- Degenerate principal series and compact groups
- On the classification of unitary representations of reductive Lie groups
- Richardson orbits for real classical groups
- On the unitary dual of real reductive Lie groups and the \(A_g(\lambda)\) modules: The strongly regular case
- Dirac series for some real exceptional Lie groups
- Scattered representations of \(\mathrm{SL}(n, \mathbb{C})\)
- Dirac index and associated cycles of Harish-Chandra modules
- Erratum to: ``On the Dirac cohomology of complex Lie group representations
- Representation of complex semi-simple Lie groups and Lie algebras
- Dirac operator and the discrete series
- Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
- Dirac cohomology, elliptic representations and endoscopy
- Twisted Dirac Index and Applications to Characters
- Derived functor modules arising as large irreducible constituents of degenerate principal series
- Translation principle for Dirac index
- Dirac index and twisted characters
- Unitary representations of real reductive groups
- Dirac cohomology of cohomologically induced modules for reductive Lie groups
- Dirac cohomology of unipotent representations of Sp(2n,R) and U(p,q)
- Unitary Representations with Dirac Cohomology: Finiteness in the Real Case
- Lie groups beyond an introduction