Pregled bibliografske jedinice broj: 163659
Dirac cohomology for Lie superalgebras
Dirac cohomology for Lie superalgebras // Transformation groups, 10 (2005), 2; 201-209 doi:10.1007/s00031-005-1006-8 (međunarodna recenzija, članak, znanstveni)
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Naslov
Dirac cohomology for Lie superalgebras
Autori
Huang, Jing-Song ; Pandžić, Pavle
Izvornik
Transformation groups (1083-4362) 10
(2005), 2;
201-209
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Lie superalgebra ; Dirac operator ; Dirac cohomology ; infinitesimal character
Sažetak
Dirac cohomology is a new tool to study representations of semisimple Lie groups and Lie algebras. The aim of this paper is to define a Dirac operator for a Lie superalgebra of Riemannian type and show that this Dirac operator has similar nature as the one for semisimple Lie algebras. As a consequence we show how to determine the infinitesimal character of a representation by the infinitesimal character of its Dirac cohomology.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037123
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::
- Mathematical Reviews
- Zentralblatt fuer Mathematik
