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Dirac cohomology of Wallach representations


Huang, Jing-Song; Pandžić, Pavle; Protsak, Victor
Dirac cohomology of Wallach representations // Pacific journal of mathematics, 250 (2011), 1; 163-190 doi:10.2140/pjm.2011.250.163 (međunarodna recenzija, članak, znanstveni)


Naslov
Dirac cohomology of Wallach representations

Autori
Huang, Jing-Song ; Pandžić, Pavle ; Protsak, Victor

Izvornik
Pacific journal of mathematics (0030-8730) 250 (2011), 1; 163-190

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

Ključne riječi
Harish-Chandra module; Dirac cohomology; Wallach representation

Sažetak
We compute the Dirac cohomology of the unitary Harish-Chandra modules for classical groups lifted from 1- dimensional representations of the compact factors in Howe duality, including all Wallach modules. Our approach is based on the explicit knowledge of the $K$-types of these Harish-Chandra modules and of the spinor module for the maximal compact subgroup. Our description of the Dirac cohomology is an explicit pairing between these $K$-types in terms of their PRV components.

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


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