Naslov
Dirac cohomology and the bottom layer K-types

Autori
Pandžić, Pavle

Izvornik
Glasnik matematički (0017-095X) 45 (2010), 2; 453-460

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
real reductive groups; Harish-Chandra modules; Dirac cohomology; cohomological induction; bottom layer K-types

Sažetak
Let $G$ be a connected real reductive Lie group with a maximal compact subgroup $K$ corresponding to a Cartan involution $\Theta$ of $G$. Let $\frqq=\frl\oplus\fru$ be a $\theta$-stable parabolic subalgebra of the complexified Lie algebra $\frg$ of $G$, where $\theta=d\Theta$. Let $L$ be the centralizer of $\frqq$ in $G$. We show that, under certain dominance assumptions, cohomological induction with respect to $\frqq$ takes irreducible unitary $(\frl, L\cap K)$- modules with nonzero Dirac cohomology to irreducible unitary $(\frg, K)$-modules which also have nonzero Dirac cohomology.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA