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Pregled bibliografske jedinice broj: 431769

Časopis

Autori: Huang, Jing-Song; Pandžić, Pavle; Protsak, Victor
Naslov: Dirac cohomology of Wallach representations
( Dirac cohomology of Wallach representations )
Izvornik: Pacific journal of mathematics (0030-8730) 250 (2011), 1; 163-190
Vrsta rada: članak
Ključne riječi: Harish-Chandra module; Dirac cohomology; Wallach representation
( 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.
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://msp.berkeley.edu/pjm/2011/250-1/p06.xhtml
Broj citata:
Altmetric:
DOI: 10.2140/pjm.2011.250.163
URL cjelovitog teksta:
Google Scholar: Dirac cohomology of Wallach representations
Upisao u CROSBI: pandzic@math.hr (pandzic@math.hr), 27. Lis. 2009. u 01:45 sati



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