The Langlands-Weissman program for Brylinski-Deligne extensions

WT Gan, F Gao - Astérisque, 2018 - smf.emath.fr
We describe an evolving and conjectural extension of the Langlands pro-gram for a class of
nonlinear covering groups of algebraic origin studied by Brylinski and Deligne. In particular …

L-groups and the Langlands program for covering groups: a historical introduction

WT Gan, F Gao, MH Weissman - arXiv preprint arXiv:1705.07559, 2017 - arxiv.org
In this joint introduction to an Asterisque volume, we give a short discussion of the historical
developments in the study of nonlinear covering groups, touching on their structure theory …

Transfert d'intégrales orbitales pour le groupe métaplectique

WW Li - Compositio Mathematica, 2011 - cambridge.org
We set up a formalism of endoscopy for metaplectic groups. By defining a suitable transfer
factor, we prove an analogue of the Langlands–Shelstad transfer conjecture for orbital …

The langlands-weissman program for brylinski-deligne extensions

WT Gan, F Gao - arXiv preprint arXiv:1409.4039, 2014 - arxiv.org
We describe an evolving and conjectural extension of the Langlands program for a class of
nonlinear covering groups of algebraic origin studied by Brylinski-Deligne. In particular, we …

Endoscopy for Mp (2n,[inline-graphic xmlns: xlink=" http://www. w3. org/1999/xlink" xlink: href=" 01i"/])

D Renard - American journal of mathematics, 1999 - muse.jhu.edu
Building on the work of J. Adams on certain dual pair correspondences involving Mp
(2n,[inline-graphic xmlns: xlink=" http://www. w3. org/1999/xlink" xlink: href=" 02i"/]), and …

La formule des traces stable pour le groupe métaplectique: les termes elliptiques

WW Li - Inventiones mathematicae, 2015 - Springer
Résumé Soient FF un corps de nombres et ̃ GG~ le revêtement métaplectique de Weil de G
(A _F)= Sp (2n, A _F) G (AF)= Sp (2 n, AF). Nous stabilisons les termes elliptiques semi …

Spectral transfer for metaplectic groups. I. Local character relations

WW Li - Journal of the Institute of Mathematics of Jussieu, 2019 - cambridge.org
Let-packets. As a first step, we characterize the image of the collective geometric transfer in
the non-archimedean case, then reduce the spectral transfer to the case of cuspidal test …

Lifting of characters for nonlinear simply laced groups

J Adams, R Herb - Representation Theory of the American Mathematical …, 2010 - ams.org
One aspect of the Langlands program for linear groups is the lifting of characters, which
relates virtual representations on a group $ G $ with those on an endoscopic group for $ G …

Representations of metaplectic groups

WT Gan - Fifth International Congress of Chinese …, 2012 - books.google.com
Representations of metaplectic groups Page 182 AMS/IP Studies in Advanced Mathematics
Volume 51, 2012 Representations of Metaplectic Groups Wee Teck Gan Abstract. We describe …

[PDF][PDF] Characters of non-linear groups

J Adams - Proceedings of Conf. on Representation Theory and …, 2000 - ww.liegroups.org
Obvious:(h, g) is independent of choice of+(h∈ H (R) 0 here) Punt: It is possible to extend
the previous construction to general G (R), and to put conditions on (h, g) so that the number …