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Search: MSC category 22E ( Lie groups {For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90} )

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26. CMB 2000 (vol 43 pp. 90)

Muić, Goran; Savin, Gordan
 Complementary Series for Hermitian Quaternionic Groups Let $G$ be a hermitian quaternionic group. We determine complementary series for representations of $G$ induced from super-cuspidal representations of a Levi factor of the Siegel maximal parabolic subgroup of $G$. Category:22E35

27. CMB 2000 (vol 43 pp. 47)

 A Property of Lie Group Orbits Let $G$ be a real Lie group and $X$ a real analytic manifold. Suppose that $G$ acts analytically on $X$ with finitely many orbits. Then the orbits are subanalytic in $X$. As a consequence we show that the micro-support of a $G$-equivariant sheaf on $X$ is contained in the conormal variety of the $G$-action. Categories:32B20, 22E15

28. CMB 1999 (vol 42 pp. 393)

Savin, Gordan
 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

29. CMB 1998 (vol 41 pp. 368)

Moskowitz, Martin; Wüstner, Michael
 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

30. 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

31. 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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