Pregled bibliografske jedinice broj: 548392
Dirac cohomology and translation functors
Dirac cohomology and translation functors // Journal of algebra, 375 (2013), 328-336 doi:10.1016/j.jalgebra.2012.11.022 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 548392 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Dirac cohomology and translation functors
Autori
Mehdi, Salah ; Pandžić, Pavle
Izvornik
Journal of algebra (0021-8693) 375
(2013);
328-336
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
(g; K)-module; Dirac operator; Dirac cohomology; translation functor.
Sažetak
We study the relationship between the Dirac cohomology of a $(\fg, K)$-module $X$ and the Dirac cohomology of a Jantzen-Zuckerman translate of $X$. More precisely, we show that if $X$ is unitary, and if some submodule $X'$ of a translate of $X$ has nonzero Dirac cohomology, then $X$ has nonzero Dirac cohomology. In the course of the proof, we show that the space of harmonic spinors (i.e., the kernel of the Dirac operator) related to $X'$ embeds into a sort of product of harmonic spinors for $X$ and harmonic spinors for the finite-dimensional module used to define the translation. This generalizes results of \cite{; ; ; MP08}; ; ; and \cite{; ; ; MP09}; ; ; .
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
