Results 31 to 40 of about 741 (76)

Distinguished representations, base change, and reducibility for unitary groups [PDF]

, 2004
We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Langlands-Shahidi method for a square integrable representation of GL(n,E).
Anandavardhanan, U. K., Rajan, C. S.
core   +2 more sources

Contragredient representations and characterizing the local Langlands correspondence

, 2015
We consider the question: what is the contragredient in terms of L-homomorphisms? We conjecture that it corresponds to the Chevalley automorphism of the L-group, and prove this in the case of real groups.
Adams, Jeffrey, Vogan Jr, David A.
core   +1 more source

On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n [PDF]

, 2016
Based on previous results of Jiang, Nien and the third author, we prove that any two minimax unitarizable supercuspidals of GL_N that have the same depth and central character admit a special pair of Whittaker functions. This result gives a new reduction
Adrian, Moshe, Liu, Baiying, Stevens, Shaun, Xu, Peng   +3 more
core   +1 more source

Local newforms for generic representations of unramified even unitary groups I: Even conductor case

Forum of Mathematics, Sigma
In this paper, we define compact open subgroups of quasi-split even unitary groups for each even non-negative integer and establish the theory of local newforms for irreducible tempered generic representations with a certain condition on the central ...
Hiraku Atobe
doaj   +1 more source

Intertwining of simple characters in GL(n)

, 2011
Let $F$ be a non-Archimedean local field and let $G$ be the general linear group $G = \text{\rm GL}_n(F)$. Let $\theta_1$, $\theta_2$ be simple characters in $G$.
Bernstein, Broussous, Bushnell, Bushnell, Bushnell, Bushnell, Bushnell, Bushnell, Colin J. Bushnell, Guy Henniart, Sécherre, Sécherre, Sécherre   +12 more
core   +1 more source

Stability in the category of smooth mod-p representations of ${\mathrm {SL}}_2(\mathbb {Q}_p)$

Forum of Mathematics, Sigma
Let $p \geq 5$ be a prime number, and let $G = {\mathrm {SL}}_2(\mathbb {Q}_p)$ . Let $\Xi = {\mathrm {Spec}}(Z)$ denote the spectrum of the centre Z of the pro-p Iwahori–Hecke algebra of G with coefficients in a field k of ...
Konstantin Ardakov, Peter Schneider
doaj   +1 more source

Paires duales réductives en caractéristique 2

, 1991
Over a local field of cliaracteristic 2, A.Weil has defined thé metaplectic group as an extension of a group called "pseudosymplectique". However, thé pairs of reductive subgroups {G^G') of this group, dual m thé sensé that G and G' are each others ...
Laurent Blasco
semanticscholar   +1 more source

Mackey Theory for $p$-adic Lie groups

, 2005
This paper gives a $p$-adic analogue of the Mackey theory, which relates representations of a group of type $G=H\times_{t} A $ to systems of imprimitivity.Comment: 11 pages.
Hsie, BinYong
core   +1 more source

The global Gan-Gross-Prasad conjecture for unitary groups. II. From Eisenstein series to Bessel periods

Forum of Mathematics, Pi
We state and prove an extension of the global Gan-Gross-Prasad conjecture and the Ichino-Ikeda conjecture to the case of some Eisenstein series on unitary groups $U_n\times U_{n+1}$ .
Raphaël Beuzart-Plessis, Pierre-Henri Chaudouard   +1 more
doaj   +1 more source

K-theory and the connection index

, 2012
Let G denote a split simply connected almost simple p-adic group. The classical example is the special linear group SL(n). We study the K-theory of the unramified unitary principal series of G and prove that the rank of K_0 is the connection index f(G ...
Kamran, Tayyab, Plymen, Roger
core   +1 more source