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Dirac cohomology, K-characters and branching laws (CROSBI ID 178039)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Huang, Jing-Song ; Pandžić, Pavle ; Zhu, Fuhai Dirac cohomology, K-characters and branching laws // American journal of mathematics, 135 (2013), 5; 1253-1269. doi: 10.1353/ajm.2013.0041

Podaci o odgovornosti

Huang, Jing-Song ; Pandžić, Pavle ; Zhu, Fuhai

engleski

Dirac cohomology, K-characters and branching laws

Inspired by work of Enright and Willenbring [EW], we prove a generalized Littlewood's restriction formula in terms of Dirac cohomology. Our approach is to use a character formula of irreducible unitary lowest weight modules instead of the Bernstein-Gelfand-Gelfand resolution, and the proof is much simpler. We also show that our branching formula is equivalent to the formula of Enright and Willenbring in terms of nilpotent Lie algebra cohomology. This follows from the close relationship between the Dirac cohomology and the corresponding nilpotent Lie algebra cohomology for unitary representations of semisimple Lie groups of Hermitian type, which was established in [HPR].

Lie group; representation; Dirac cohomology; K-character; branching law

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Podaci o izdanju

135 (5)

2013.

1253-1269

objavljeno

0002-9327

10.1353/ajm.2013.0041

Povezanost rada

Matematika

Poveznice
Indeksiranost