Pregled bibliografske jedinice broj: 163680
Zuckerman functors between equivariant derived categories
Zuckerman functors between equivariant derived categories // Transactions of the American Mathematical Society, 359 (2007), 5; 2191-2220 (međunarodna recenzija, članak, znanstveni)
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Naslov
Zuckerman functors between equivariant derived categories
Autori
Pandžić, Pavle
Izvornik
Transactions of the American Mathematical Society (0002-9947) 359
(2007), 5;
2191-2220
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Harish-Chandra modules; Zuckerman functors; equivariant derived categories
Sažetak
We review the Beilinson-Ginzburg construction of equivariant derived categories of Harish-Chandra modules, and introduce analogues of Zuckerman functors in this setting. They are given by an explicit formula, which works equally well in the case of modules with a given infinitesimal character. This is important if one wants to apply Beilinson-Bernstein localization, as is explained in [MP1]. We also show how to recover the usual Zuckerman functors from the equivariant ones by passing to cohomology.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
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::
- Mathematical Reviews
- Zentralblatt fuer Mathematik
