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Pregled bibliografske jedinice broj: 548372

Časopis

Autori: Huang, Jing-Song; Pandžić, Pavle; Zhu, Fuhai
Naslov: Dirac cohomology, K-characters and branching laws
Izvornik: American journal of mathematics (0002-9327) 135 (2013), 5; 1253-1269
Vrsta rada: članak
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].
Projekt / tema: 037-0372794-2807, 037-0372794-3229
Izvorni jezik: ENG
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL Internet adrese: http://muse.jhu.edu/journals/american_journal_of_mathematics/summary/v135/135.5.huang.html
Broj citata:
Altmetric:
DOI: 10.1353/ajm.2013.0041
URL cjelovitog teksta:
Google Scholar: Dirac cohomology, K-characters and branching laws
Upisao u CROSBI: pandzic.math@pmf.hr (pandzic.math@pmf.hr), 21. Stu. 2011. u 14:43 sati



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