Pregled bibliografske jedinice broj: 991080
Classification of Aq(λ) modules by their Dirac cohomology for type D, G2 and sp(2n, R)
Classification of Aq(λ) modules by their Dirac cohomology for type D, G2 and sp(2n, R) // Journal of algebra, 526 (2019), 283-308 doi:10.1016/j.jalgebra.2019.02.018 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 991080 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Classification of Aq(λ) modules by their Dirac cohomology for type D, G2 and sp(2n, R)
Autori
Prlić, Ana
Izvornik
Journal of algebra (0021-8693) 526
(2019);
283-308
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
(g, K)-module ; A q (λ) module ; Dirac cohomology
Sažetak
Abstract. Let G be a connected real reductive group with maximal compact subgroup K of the same rank as G. In the recent paper of Huang, Pandžić and Vogan, it was shown that the admissible Θ–stable parabolic subalgebras q of g are in one-to-one correspodence with the faces of W ρ intersecting the k–dominant Weyl chamber and that A q (0)–modules can be classified by their Dirac cohomology in geometric terms. They described in detail the cases when g 0 is of type A, B, F and C except for g 0 = sp(2n, R). We will describe faces corresponding to A q (0)–modules for g 0 = sp(2n, R) and for g 0 of type D and G 2
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
ZCI KK.01.1.1.01.0004
HRZZ-IP-2013-11-4176 - Diracovi operatori i teorija reprezentacija (representations) (Pandžić, Pavle, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Ana Prlić
(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
