Naslov
Dirac operators on Weil representations II

Autori
Pandžić, Pavle

Izvornik
Mathematical communications (1331-0623) 15 (2010), 2; 411-424

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

Ključne riječi
Symplectic group; Weil representation; Dirac operator; Dirac cohomology

Sažetak
Let $G$ be the metaplectic double cover of the group $G$ of four-by-four real symplectic matrices. Let $\frg$ be the complexified Lie algebra of $G$. Denote by $W_0$ and $W_1$ the Harish-Chandra modules of the even respectively odd Weil representations of $G$. We find the Dirac cohomology of $W_0$ and $W_1$ with respect to a noncompact Levi subalgebra $\frl$ of a $\theta$- stable parabolic subalgebra of $\frg$. The results can be considered as counterexamples to certain generalizations of the main results of \cite{; ; HPR}; ; .

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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