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Pregled bibliografske jedinice broj: 548372

Dirac cohomology, K-characters and branching laws


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 (međunarodna recenzija, članak, znanstveni)


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


Projekt / tema
037-0372794-2807 - Homološke i geometrijske metode u teoriji reprezentacija (Pavle Pandžić, )
037-0372794-3229 - Reprezentacije poluprostih Liejevih grupa: K-tipovi, duali, C*-algebre (Hrvoje Kraljević, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Pavle Pandžić, (135772)

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati