Expand all Collapse all | Results 26 - 29 of 29 |
26. CMB 1999 (vol 42 pp. 393)
A Class of Supercuspidal Representations of $G_2(k)$ Let $H$ be an exceptional, adjoint group of type $E_6$ and split
rank 2, over a $p$-adic field $k$. In this article we discuss the
restriction of the minimal representation of $H$ to a dual pair
$\PD^{\times}\times G_2(k)$, where $D$ is a division algebra of
dimension 9 over $k$. In particular, we discover an interesting
class of supercuspidal representations of $G_2(k)$.
Categories:22E35, 22E50, 11F70 |
27. CMB 1998 (vol 41 pp. 368)
Exponentiality of certain real solvable Lie groups In this article, making use of the second author's criterion for
exponentiality of a connected solvable Lie group, we give a rather
simple necessary and sufficient condition for the semidirect
product of a torus acting on certain connected solvable Lie groups
to be exponential.
Categories:22E25, 22E15 |
28. CMB 1997 (vol 40 pp. 376)
The dual pair $PGL_3 \times G_2$ Let $H$ be the split, adjoint group of type $E_6$ over a $p$-adic field.
In this paper we study the restriction of the minimal representation of
$H$ to the closed subgroup $PGL_3 \times G_2$.
Categories:22E35, and, 50, 11F70 |
29. CMB 1997 (vol 40 pp. 72)
Generalized Siegel modular forms and cohomology of locally symmetric varieties We generalize Siegel modular forms and construct an exact sequence
for the cohomology of locally symmetric varieties which plays the
role of the Eichler-Shimura isomorphism for such generalized Siegel
modular forms.
Categories:11F46, 11F75, 22E40 |