Pregled bibliografske jedinice broj: 628838
Dirac cohomology of unipotent representations of Sp(2n, R) and U(p, q)
Dirac cohomology of unipotent representations of Sp(2n, R) and U(p, q) // Journal of lie theory, 25 (2015), 1; 185-213 (međunarodna recenzija, članak, znanstveni)
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Naslov
Dirac cohomology of unipotent representations of Sp(2n, R) and U(p, q)
Autori
Barbasch, Dan ; Pandžić, Pavle
Izvornik
Journal of lie theory (0949-5932) 25
(2015), 1;
185-213
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Lie group; unitary representation; unipotent representation; Dirac operator; Dirac cohomology
Sažetak
We explicitly describe Dirac cohomology of special unipotent representations of the groups Sp(2n, R) and U(p, q). Unlike the simpler cases treated in the literature so far, the answer here is quite involved. In particular, the Dirac cohomology can contain K-types with high multiplicity.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372794-3229 - Reprezentacije poluprostih Liejevih grupa: K-tipovi, duali, C*-algebre (Kraljević, Hrvoje, MZOS ) ( CroRIS)
037-0372794-2807 - Homološke i geometrijske metode u teoriji reprezentacija (Pandžić, Pavle, 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
