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References (32)
-
Zhiwei Yun (2011)
Global Springer theoryAdvances in Mathematics, 228
-
G. Lusztig (2010)
From conjugacy classes in the Weyl group to unipotent classes, IIarXiv: Representation Theory
-
D. Gaitsgory (1999)
Construction of central elements in the affine Hecke algebra via nearby cyclesInventiones mathematicae, 144
-
R. Bezrukavnikov, M. Finkelberg, V. Ostrik (2000)
On tensor categories attached to cells in affine Weyl groups, IIIIsrael Journal of Mathematics, 170
-
A monodromic geometric Satake equivalence -
B. Gross, Mark Reeder (2010)
Arithmetic invariants of discrete Langlands parametersDuke Mathematical Journal, 154
-
G. Lusztig, N. Spaltenstein (1979)
Induced Unipotent ClassesJournal of The London Mathematical Society-second Series
-
(2007)
On de Jongs conjecture -
E. Frenkel, B. Gross (2009)
A rigid irregular connection on the projective lineAnnals of Mathematics, 170
-
G. Lusztig (2007)
Unipotent classes and special Weyl group representationsarXiv: Representation Theory
-
D. Gorenstein, R. Lyons, R. Solomon (1997)
The finite groups of Lie type -
G. Lusztig (1987)
Cells in affine Weyl groups, IIIJournal of the Faculty of Science. University of Tokyo. Section IA. Mathematics, 34
-
M Reeder, J-K Yu (2014)
Epipelagic representations and invariant theoryJ. AMS, 27
-
N. Katz (1987)
Gauss Sums, Kloosterman Sums, And Monodromy Groups -
J. Heinloth, N. Chau, Zhiwei Yun (2010)
Kloosterman sheaves for reductive groupsAnnals of Mathematics, 177
-
I. MacDonald (1972)
Some Irreducible Representations of Weyl GroupsBulletin of The London Mathematical Society, 4
-
Mark Reeder, J. Yu (2013)
Epipelagic representations and invariant theoryJournal of the American Mathematical Society, 27
-
Mark Reeder, P. Levy, J. Yu, B. Gross (2012)
Gradings of positive rank on simple Lie algebrasTransformation Groups, 17
-
G. Lusztig (1987)
Cells in affine Weyl groups, IIJournal of Algebra, 109
-
M. Dettweiler, Stefan Reiter (2010)
Rigid local systems and motives of type G 2Compositio Mathematica, 146
-
Zhiwei Yun (2014)
Rigidity in automorphic representations and local systemsarXiv: Number Theory
-
P. Deligne, J. Milne, Tim Keller, Shrenik Shah, Lars Kindler (2012)
Tannakian Categories -
Zhiwei Yun (2011)
Motives with exceptional Galois groups and the inverse Galois problemInventiones mathematicae, 196
-
G. Faltings (2003)
Algebraic loop groups and moduli spaces of bundlesJournal of the European Mathematical Society, 5
-
I. Mirkovic, K. Vilonen (2004)
Geometric Langlands duality and representations of algebraic groups over commutative ringsAnnals of Mathematics, 166
-
T. Springer (1974)
Regular elements of finite reflection groupsInventiones mathematicae, 25
-
E. Vinberg (1976)
THE WEYL GROUP OF A GRADED LIE ALGEBRAMathematics of The Ussr-izvestiya, 10
-
行者 明彦 (2010)
Representation theory of algebraic groups and quantum groups -
G. Lusztig (1979)
A class of irreducible representations of a Weyl group, 82
-
R. Carter (1985)
Finite groups of Lie type: Conjugacy classes and complex characters -
G. Lusztig (1997)
Cells in Affine Weyl Groups and Tensor CategoriesAdvances in Mathematics, 129
-
G. Lusztig (1985)
Cells in Affine Weyl Groups
- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Springer International Publishing
- Subject
- Mathematics; Mathematics, general
- ISSN
- 1022-1824
- eISSN
- 1420-9020
- DOI
- 10.1007/s00029-015-0204-z
- Publisher site
- See Article on Publisher Site
Abstract
We construct automorphic representations for quasi-split groups G over the function field $$F=k(t)$$ F = k ( t ) one of whose local components is an epipelagic representation in the sense of Reeder and Yu. We also construct the attached Galois representations under the Langlands correspondence. These Galois representations give new classes of conjecturally rigid, wildly ramified $${}^{L}{G}$$ L G -local systems over $$\mathbb {P}^{1}-\{0,\infty \}$$ P 1 - { 0 , ∞ } that generalize the Kloosterman sheaves constructed earlier by Heinloth, Ngô and the author. We study the monodromy of these local systems and compute all examples when G is a classical group.
Journal
Selecta Mathematica – Springer Journals
Published: Jan 4, 2016