Naslov
Dirac cohomology, K-characters and branching laws

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

Izvornik
American journal of mathematics (0002-9327) 135 (2013), 5; 1253-1269

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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].

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA