Izvorni znanstveni članak
Dirac operators on Weil representations II
Pavle Pandžić
orcid.org/0000-0002-7405-4381
; Department of Mathematics, University of Zagreb, Zagreb, Croatia
Sažetak
Let G be a 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 and odd Weil representations of $G$, respectively. 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 [9].
Ključne riječi
symplectic group; Weil representation; Dirac operator
Hrčak ID:
61868
URI
Datum izdavanja:
8.12.2010.
Posjeta: 1.184 *