Pregled bibliografske jedinice broj: 431769
Dirac cohomology of Wallach representations
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)
CROSBI ID: 431769 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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
Projekti:
037-0372794-2807 - Homološke i geometrijske metode u teoriji reprezentacija (Pandžić, Pavle, MZOS ) ( CroRIS)
037-0372794-3229 - Reprezentacije poluprostih Liejevih grupa: K-tipovi, duali, C*-algebre (Kraljević, Hrvoje, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Pavle Pandžić
(autor)
Citiraj ovu publikaciju:
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
