Expand all Collapse all | Results 1 - 8 of 8 |
1. CMB 2006 (vol 49 pp. 578)
On the Structure of the Full Lift for the Howe Correspondence of $(Sp(n), O(V))$ for Rank-One Reducibilities |
On the Structure of the Full Lift for the Howe Correspondence of $(Sp(n), O(V))$ for Rank-One Reducibilities In this paper we determine the structure of the full lift for the Howe
correspondence of $(Sp(n),O(V))$ for rank-one reducibilities.
Categories:22E35, 22E50, 11F70 |
2. CMB 2002 (vol 45 pp. 220)
Globalization of Distinguished Supercuspidal Representations of $\GL(n)$ An irreducible supercuspidal representation $\pi$ of $G=
\GL(n,F)$, where $F$ is a nonarchimedean local field of
characteristic zero, is said to be ``distinguished'' by a
subgroup $H$ of $G$ and a quasicharacter $\chi$ of $H$ if
$\Hom_H(\pi,\chi)\noteq 0$. There is a suitable global analogue
of this notion for and irreducible, automorphic, cuspidal
representation associated to $\GL(n)$. Under certain general
hypotheses, it is shown in this paper that every distinguished,
irreducible, supercuspidal representation may be realized as a
local component of a distinguished, irreducible automorphic,
cuspidal representation. Applications to the theory of
distinguished supercuspidal representations are provided.
Categories:22E50, 22E35, 11F70 |
3. CMB 2001 (vol 44 pp. 482)
Matching of Weighted Orbital Integrals for Metaplectic Correspondences We prove an identity between weighted orbital integrals of the unit
elements in the Hecke algebras of $\GL(r)$ and its $n$-fold
metaplectic covering, under the assumption that $n$ is relatively
prime to any proper divisor of every $1 \leq j \leq r$.
Category:22E35 |
4. CMB 2001 (vol 44 pp. 298)
A Proof of Casselman-Shahidi's Conjecture for Quasi-split Classical Groups In this paper the author prove that standard modules of classical
groups whose Langlands quotients are generic are irreducible. This
establishes a conjecture of Casselman and Shahidi for this important
class of groups.
Category:22E35 |
5. CMB 2000 (vol 43 pp. 380)
Twists of a General Class of $L$-Functions by Highly Ramified Characters It is shown that given a local $L$-function defined by Langlands-Shahidi
method, there exists a highly ramified character of the group which when
is twisted with the original representation leads to a trivial
$L$-function.
Categories:11F70, 22E35, 22E50 |
6. CMB 2000 (vol 43 pp. 90)
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 |
7. 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 |
8. 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 |