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Search: MSC category 22 ( Topological groups, Lie groups )

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51. CMB 1997 (vol 40 pp. 376)

Gross, Benedict H.; Savin, Gordan
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

52. CMB 1997 (vol 40 pp. 183)

Kepert, Andrew G.
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

53. CMB 1997 (vol 40 pp. 72)

Lee, Min Ho
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
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