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Journal of clinical and diagnostic research : JCDR, ISSN 2249-782X, 08/2017, Volume 11, Issue 8, pp. PJ01 - PJ01
Journal Article
Journal of Clinical and Diagnostic Research, ISSN 2249-782X, 08/2017, Volume 11, Issue 8, p. PJ01
Journal Article
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, ISSN 0065-9266, 07/2008, Volume 194, Issue 908, pp. 1 - 1
We consider the fundamental lemma for twisted endoscopy, for the units of Hecke algebras only. We prove that he is true if two others lemmas are true : the... 
MATHEMATICS | endoscopic transfer | twisted endoscopy | fundamental lemma | CONJUGACY
Journal Article
Journal of the Institute of Mathematics of Jussieu, ISSN 1474-7480, 07/2016, Volume 15, Issue 3, pp. 569 - 612
Suppose that G is a connected reductive algebraic group defined over R, G(R) is its group of real points, theta is an automorphism of G, and omega is a... 
spectral transfer | twisted endoscopy | MATHEMATICS | GEOMETRIC TRANSFER | ORBITAL INTEGRALS | REPRESENTATIONS | TERMS | TRACE FORMULA | REDUCTIVE LIE-GROUPS | Algebraic group theory | Functions (mathematics) | Matching | Algebra | Endoscopes | Integrals | Mathematical analysis | Spectra | Automorphisms
Journal Article
Canadian Journal of Mathematics, ISSN 0008-414X, 10/2017, Volume 69, Issue 5, pp. 1169 - 1200
Let P = MN be a Levi decomposition of a maximal parabolic subgroup of a connected reductive group G over a p-adic field F. Assume that there exists w(0) is an... 
Induced representation | Intertwining operator | Endoscopy | MATHEMATICS | induced representation | TWISTED ENDOSCOPY | REPRESENTATIONS | POLES | intertwining operator | endoscopy
Journal Article
Journal of the Institute of Mathematics of Jussieu, ISSN 1474-7480, 10/2003, Volume 2, Issue 4, pp. 529 - 566
We establish a transfer of (twisted) orbital integrals in the context of twisted endoscopy between a real reductive algebraic group G and a reductive quasi-... 
MATHEMATICS | orbital integrals | twisted endoscopy | Langlands functoriality
Journal Article
Forum Mathematicum, ISSN 0933-7741, 07/2014, Volume 26, Issue 4, pp. 1029 - 1069
We study the tempered spectrum of special orthogonal groups of odd degree over -adic fields of characteristic zero. Residues of intertwining operators for... 
functions | adic representation theory | local Langlands | 11F70 | reducibility | twisted endoscopy | 22E50 | Intertwining operators | P-adic representation theory | Local Langlands L-functions | Reducibility | Twisted endoscopy | MATHEMATICS | p-adic representation theory | ENDOSCOPY | MATHEMATICS, APPLIED | INDUCED REPRESENTATIONS | THEOREM | PROOF | local Langlands L-functions
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 6/2019, Volume 292, Issue 1, pp. 529 - 567
We show that the distributions occurring in the geometric and spectral side of the twisted Arthur–Selberg trace formula extend to non-compactly supported test... 
Beyond endoscopy | Secondary 11F70 | Twisted trace formula | Primary 11F72 | Mathematics, general | Arthur–Selberg trace formula | Mathematics | Automorphic forms | 22E55 | Rankin–Selberg L -functions | Rankin-Selberg L-functions | MATHEMATICS | Arthur-Selberg trace formula | SPECTRAL SIDE
Journal Article
ASTERISQUE, ISSN 0303-1179, 1999, Issue 255, pp. 1 - 1
This book develops the foundations of a general theory of twisted endoscopy: definition of endoscopic groups, study of the correspondance between twisted... 
MATHEMATICS | stable twisted trace formula | hypercohomology of complexes of tori | STABLE TRACE FORMULA | twisted endoscopy | TERMS | L-INDISTINGUISHABILITY | transfer factors | CONJUGACY
Journal Article
by Xu, Bin
Manuscripta Mathematica, ISSN 0025-2611, 11/2017, Volume 154, Issue 3-4, pp. 441 - 502
Zelevinsky's classification theory of discrete series of p-adic general linear groups has been well known. MA"glin and TadiAc gave the same kind of theory for... 
Secondary 11F70 | Primary 22E50 | JACQUET MODULES | LIE-ALGEBRAS | MATHEMATICS | TWISTED ENDOSCOPY | LANGLANDS | INDUCED REPRESENTATIONS | GL(N) | PALEY-WIENER THEOREM | IRREDUCIBLE REPRESENTATIONS | FUNDAMENTAL LEMMA | LINEAR GROUP
Journal Article
Representation Theory of the American Mathematical Society, ISSN 1088-4165, 10/2018, Volume 22, Issue 6, pp. 160 - 201
Let G be a classical p-adic group and let \pi be a smooth irreducible representation of G. In this paper, we consider the problem of calculating the dual (in... 
JACQUET MODULES | REDUCIBILITY | MATHEMATICS | TWISTED ENDOSCOPY | DISCRETE-SERIES | INDUCED REPRESENTATIONS | ODD-ORTHOGONAL GROUPS | FINITE-FIELD | GENERALIZED PRINCIPAL SERIES | REDUCTIVE GROUP | CHARACTER RING
Journal Article
Journal Article
PACIFIC JOURNAL OF MATHEMATICS, ISSN 0030-8730, 08/2017, Volume 289, Issue 2, pp. 395 - 415
We determine under which conditions is the Langlands quotient of an induced representation of the form delta (sic) sigma, where delta is an irreducible... 
P-ADIC GROUPS | JACQUET MODULES | MATHEMATICS | discrete series | TWISTED ENDOSCOPY | Aubert involution | INDUCED REPRESENTATIONS | classical p-adic groups | POSITIVE DISCRETE-SERIES
Journal Article
manuscripta mathematica, ISSN 0025-2611, 5/2018, Volume 156, Issue 1, pp. 23 - 55
Let G be a classical p-adic group. If T is an irreducible tempered representation of such a group and $$\rho $$ ρ an irreducible unitary supercuspidal... 
Geometry | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | 22E50 | Mathematics, general | Algebraic Geometry | Mathematics | Number Theory | REDUCIBILITY | MATHEMATICS | TWISTED ENDOSCOPY | LANGLANDS | DISCRETE-SERIES | THEOREM | GENERALIZED PRINCIPAL SERIES
Journal Article
Forum Mathematicum, ISSN 0933-7741, 01/2017, Volume 29, Issue 1, pp. 111 - 155
Suppose is a -adic field, and is (a -extension of) a group that is twisted endoscopic to a connected reductive quasi-split group G over . Suppose G satisfies... 
22E50 | generic packet conjecture | Twisted endoscopy | Whittaker models | P-ADIC GROUPS | LIE-ALGEBRAS | MATHEMATICS | MATHEMATICS, APPLIED | SERIES | THEOREM | TRACE FORMULA | FUNDAMENTAL LEMMA | CHARACTERS
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 08/2012, Volume 8, Issue 5, pp. 1153 - 1230
Let E/F be a quadratic extension of p-adic fields, p ≠ 2. Let $x \mapsto \overline{x}$ be the involution of E over F. The representation π of GL(3, E)... 
stable conjugacy | twisted characters | endoscopy | Admissible representations of a p-adic group | P-ADIC GROUPS | MATHEMATICS | SYMMETRIC SQUARE
Journal Article
Journal of the Institute of Mathematics of Jussieu, ISSN 1474-7480, 10/2004, Volume 3, Issue 4, pp. 473 - 530
This paper deals with the stabilization of the contribution of elliptic elements to the geometric side of the general twisted trace formula. We extend the... 
stable trace formula | endoscopy | twisted trace formula | MATHEMATICS
Journal Article
Asterisque, ISSN 0303-1179, 2005, Issue 302, pp. 291 - 436
We prove the twisted weighted fundamental lemma for the group GL(4) x GL(l) relative to a certain outer automorphism alpha, which yields GSp(4) as a twisted... 
Weighted orbital integrals | Fundamental lemma | Twisted endoscopy | MATHEMATICS | fundamental lemma | STABLE TRACE FORMULA | ORBITAL INTEGRALS | weighted orbital integrals | twisted endoscopy
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 09/2006, Volume 2, Issue 3, pp. 329 - 350
We compute by a purely local method the (elliptic) θ-twisted character χπY of the representation πY = I(3, 1)(13 × χY) of G = GL(4, F), where F is a p-adic... 
P-ADIC GROUPS | MATHEMATICS | ORBITAL INTEGRALS | admissible representations | twisted endoscopy | explicit character computations | AUTOMORPHIC-FORMS | SYMMETRICAL SQUARE
Journal Article
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