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Pregled bibliografske jedinice broj: 431771

Časopis

Autori: Pandžić, Pavle; Renard, David
Naslov: Dirac induction for Harish-Chandra modules
Izvornik: Journal of lie theory (0949-5932) 20 (2010), 4; 617-641
Vrsta rada: članak
Ključne riječi: Harish-Chandra module; Dirac cohomology; Dirac indcution
Sažetak:
We introduce new notions of Dirac cohomology and homology of a Harish-Chandra module $X$. If $X$ is unitary or finite-dimensional then these new notions both coincide with the previously studied version of Dirac cohomology from \cite{; ; ; V}; ; ; and \cite{; ; ; HP}; ; ; . The new notions have certain advantages. Notably, if $X$ is irreducible and has nonzero Dirac cohomology (respectively homology), then $X$ is uniquely determined by its Dirac cohomology (respectively homology). Furthermore, one can define adjoint functors that we call Dirac induction functors. We study basic properties of these functors and we calculate their result explicitly in some examples.
Projekt / tema: 037-0372794-3229, 037-0372794-2807
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://www.heldermann.de/JLT/JLT20/JLT204/jlt20030.htm
URL cjelovitog teksta:
Google Scholar: Dirac induction for Harish-Chandra modules
Upisao u CROSBI: pandzic@math.hr (pandzic@math.hr), 27. Lis. 2009. u 02:07 sati



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