51. 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.
52. 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
53. CMB 1997 (vol 40 pp. 183)
||The range of group algebra homomorphisms |
A characterisation of the range of a homomorphism between two
commutative group algebras is presented which implies, among other
things, that this range is closed. The work relies mainly on the
characterisation of such homomorphisms achieved by P.~J.~Cohen.
Categories:43A22, 22B10, 46J99
54. CMB 1997 (vol 40 pp. 72)