26. 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.
27. 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
28. 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