Stephen DeBacker

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All published works

Action	Title	Year	Authors
+ PDF Chat	Kac Diagrams for Elliptic Weyl Group Elements	2024	Stephen DeBacker Jacob Haley
+	Totally Ramified Maximal Tori and Bruhat-Tits theory	2023	Stephen DeBacker
+	Parameterizing Conjugacy Classes of Unramified Tori via Bruhat-Tits Theory	2022	Stephen DeBacker
+	A spectral decomposition of orbital integrals for $PGL(2,F)$	2017	David Kazhdan Stephen DeBacker
+	A spectral decomposition of orbital integrals for $PGL(2,F)$	2017	David Kazhdan Stephen DeBacker
+ PDF Chat	Stability of character sums for positive-depth, supercuspidal representations	2016	Stephen DeBacker Loren Spice
+	Murnaghan-Kirillov theory for depth-zero supercuspidal representations: reduction to Lusztig functions	2011	Stephen DeBacker David Kazhdan
+ PDF Chat	Supercuspidal characters of 𝑆𝐿₂ over a 𝑝-adic field	2011	Jeffrey D. Adler Stephen DeBacker Paul Sally Loren Spice
+ PDF Chat	On some generic very cuspidal representations	2010	Stephen DeBacker Mark Reeder
+ PDF Chat	Depth-zero supercuspidal L-packets and their stability	2009	Stephen DeBacker Mark Reeder
+	Stable Distributions Supported on the Nilpotent Cone for the Group G 2	2007	Stephen DeBacker David Kazhdan
+ PDF Chat	Parameterizing conjugacy classes of maximal unramified tori via Bruhat-Tits theory	2006	Stephen DeBacker
+ PDF Chat	The fundamental lemma: what is it and what do we know?	2005	Stephen DeBacker
+	Lectures on Harmonic Analysis for Reductive p-adic Groups	2004	Stephen DeBacker
+	Murnaghan-Kirillov theory for supercuspidal representations of tame general linear groups	2004	Jeffrey D. Adler Stephen DeBacker
+	Parametrizing nilpotent orbits via Bruhat-Tits theory	2004	Stephen DeBacker
+ PDF Chat	A generalization of a result of Kazhdan and Lusztig	2003	Jeffrey D. Adler Stephen DeBacker
+ PDF Chat	Some applications of Bruhat-Tits theory to harmonic analysis on a reductive p-adic group	2002	Stephen DeBacker
+ PDF Chat	Some applications of Bruhat-Tits theory to harmonic analysis on the Lie algebra of a reductive p-adic group	2002	Jeffrey D. Adler Stephen DeBacker
+ PDF Chat	Parametrizing Nilpotent Orbits via Bruhat-Tits Theory	2002	Stephen DeBacker
+ PDF Chat	Homogeneity results for invariant distributions of a reductive p-adic group1	2002	Stephen DeBacker
+ PDF Chat	None	2000	Stephen DeBacker
+	Germs, characters, and the Fourier transforms of nilpotent orbits	2000	Stephen DeBacker Paul Sally
+	Fourier transforms on the Lie algebra	1999	Harish-chandra Harish-Chandra Stephen DeBacker Paul Sally
+ PDF Chat	An extension and proof of Howe’s Theorem	1999	Harish-chandra Harish-Chandra Stephen DeBacker Paul Sally
+	Admissible Invariant Distributions on Reductive 𝑝-adic Groups	1999	Harish-chandra Harish-Chandra Stephen DeBacker Paul Sally

Common Coauthors

Coauthor	Papers Together
Paul Sally	5
Jeffrey D. Adler	4
David Kazhdan	4
Harish-chandra Harish-Chandra	3
Loren Spice	2
Mark Reeder	2
Jacob Haley	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Some applications of Bruhat-Tits theory to harmonic analysis on the Lie algebra of a reductive p-adic group	2002	Jeffrey D. Adler Stephen DeBacker	12
+	Jacquet functors and unrefined minimal K-types	1996	Allen Moy Gopal Prasad	12
+ PDF Chat	Unrefined minimal K-types forp-adic groups	1994	Allen Moy Gopal Prasad	12
+ PDF Chat	Refined anisotropic K-types and supercuspidal representations	1998	Jeffrey D. Adler	10
+	Admissible Invariant Distributions on Reductive 𝑝-adic Groups	1999	Harish-chandra Harish-Chandra Stephen DeBacker Paul Sally	10
+	Linear Algebraic Groups	1991	Armand Borel	9
+	Groupes Réductifs Sur Un Corps Local	1972	François Bruhat Jacques Tits	8
+ PDF Chat	Parametrizing Nilpotent Orbits via Bruhat-Tits Theory	2002	Stephen DeBacker	8
+ PDF Chat	Harmonic Analysis on Reductive p-adic Groups	1970	Harish-chandra Harish-Chandra	7
+	The Fourier transform and germs of characters (case of Gl n over ap-adic field)	1974	Roger Howe	7
+	Murnaghan-Kirillov theory for supercuspidal representations of tame general linear groups	2004	Jeffrey D. Adler Stephen DeBacker	7
+ PDF Chat	Homogeneity results for invariant distributions of a reductive p-adic group1	2002	Stephen DeBacker	7
+ PDF Chat	An Intertwining Result for <i>p</i>-adic Groups	2000	Jeffrey D. Adler Alan Roche	7
+	Construction of tame supercuspidal representations	2001	Jiu-Kang Yu	7
+	Finite groups of Lie type	1985	Meinolf Geck	6
+	Harmonic Analysis on Reductive p-adic Groups	1970	Harish-chandra Harish-Chandra Gerrit van Dijk	6
+	Intégrales orbitales nilpotentes et endoscopie pour les groupes classiques non ramifiés	2001	Jean-Loup Waldspurger	6
+	Groupes réductifs sur un corps local	1984	François Bruhat Jacques Tits	6
+	Orbital Integrals in Reductive Groups	1972	R. Ranga Rao	6
+ PDF Chat	Some applications of Bruhat-Tits theory to harmonic analysis on a reductive p-adic group	2002	Stephen DeBacker	6
+	Finite Groups of Lie Type: Conjugacy Classes and Complex Characters	1993	Roger W. Carter	5
+ PDF Chat	Depth-zero supercuspidal L-packets and their stability	2009	Stephen DeBacker Mark Reeder	5
+	Groupes réductifs sur un corps local : II. Schémas en groupes. Existence d'une donnée radicielle valuée	1984	François Bruhat Jacques Tits	5
+ PDF Chat	Parameterizing conjugacy classes of maximal unramified tori via Bruhat-Tits theory	2006	Stephen DeBacker	5
+	Linear algebraic groups	1966	Armand Borel	5
+ PDF Chat	Instability in Invariant Theory	1978	George R. Kempf	4
+	Representations of Reductive Groups Over Finite Fields	1976	Pierre Deligne G. Lusztig	4
+ PDF Chat	Local character expansions	1997	Dan Barbasch Allen Moy	4
+	Green Functions and Character Sheaves	1990	G. Lusztig	4
+	Reductive groups over local fields	1979	Jacques Tits	4
+	Fixed point varieties on affine flag manifolds	1988	David Kazhdan G. Lusztig	4
+	Transfer factors for Lie Algebras	1999	Robert Kottwitz	4
+	Character expansions and unrefined minimal K -types	2003	Ju-Lee Kim Fiona Murnaghan	4
+ PDF Chat	Characters of supercuspidal representations of classical groups	1996	Fiona Murnaghan	4
+	Supercuspidal representations: An exhaustion theorem	2006	Ju-Lee Kim	3
+ PDF Chat	Characters of Depth-Zero, Supercuspidal Representations of the Rank-2 Symplectic Group	2000	Clifton Cunningham	3
+ PDF Chat	A new proof of the Howe Conjecture	2000	Dan Barbasch Allen Moy	3
+	Automorphic Forms, Representations, and L-Functions	1979	Armand Borel W. Casselman	3
+	Proof of Springer’s hypothesis	1977	David Kazhdan	3
+ PDF Chat	Homogénéité de certaines distributions sur les groupes p-adiques	1995	J. L. Waldspurger	3
+	Modèles de Whittaker dégénérés pour des groupesp-adiques	1987	Colette Mœglin J. L. Waldspurger	3
+ PDF Chat	Regular elements of semisimple algebraic groups	1965	Robert Steinberg	3
+	Conjugacy Classes in Semisimple Algebraic Groups	2011	James E. Humphreys	3
+	Classes of unipotent elements in simple algebraic groups. I	1976	Pawan Bala R. W. Carter	3
+ PDF Chat	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	3
+	Local character expansions and Shalika germs for GL(n)	1996	Fiona Murnaghan	3
+	Torsion in reductive groups	1975	Robert Steinberg	3
+	Topological Central Extensions of Semi-Simple Groups Over Local Fields	1984	Gopal Prasad M. S. Raghunathan	3
+ PDF Chat	Sign changes in harmonic analysis on reductive groups	1983	Robert Kottwitz	2
+ PDF Chat	Representations of abelian algebraic groups	1997	R. P. Langlands	2