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Dirac cohomology and the bottom layer K-types (CROSBI ID 161704)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Pandžić, Pavle Dirac cohomology and the bottom layer K-types // Glasnik matematički, 45 (2010), 2; 453-460

Podaci o odgovornosti

Pandžić, Pavle

engleski

Dirac cohomology and the bottom layer K-types

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.

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

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Podaci o izdanju

45 (2)

2010.

453-460

objavljeno

0017-095X

Povezanost rada

Matematika

Indeksiranost