Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer_journal/affine-hecke-algebras-via-daha-P9JT6T4L9b
References (25)
-
Naoya Enomoto (2006)
Composition Factors of Polynomial Representation of DAHA and Crystallized Decomposition NumbersarXiv: Representation Theory
-
D. Kazhdan, G. Lusztig (1987)
Proof of the Deligne-Langlands conjecture for Hecke algebrasInventiones mathematicae, 87
-
(2006)
A generating formula for the trace of the Iwahori – Hecke algebra -
I Cherednik (2006)
Double Affine Hecke Algebras, London Mathematical Society Lecture Note Series -
J. Stokman (2011)
The c-function expansion of a basic hypergeometric function associated to root systemsAnnals of Mathematics, 179
-
I. Cherednik, Xiaoguang Ma (2013)
Spherical and Whittaker functions via DAHA IISelecta Mathematica, 19
-
I. Cherednik, Daniel Orr (2013)
Nonsymmetric difference Whittaker functionsMathematische Zeitschrift, 279
-
E. Opdam (1995)
Harmonic analysis for certain representations of graded Hecke algebrasActa Mathematica, 175
-
B. Ion (2004)
Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal seriesAdvances in Mathematics, 201
-
GJ Heckman, EM Opdam (1996)
Current Developments in Mathematics -
(1973)
A finite analog of the reciprocal of a theta function, Pubblications de la Faculté D'électrotechnique De L'Université À -
I. Cherednik (2009)
Nonsemisimple Macdonald polynomialsSelecta Mathematica, 14
-
I. Cherednik, Xiaoguang Ma (2013)
Spherical and Whittaker functions via DAHA ISelecta Mathematica, 19
-
I. Cherednik, Daniel Orr (2011)
One-Dimensional Nil-Daha and Whittaker Functions ITransformation Groups, 17
-
I. Cherednik (1997)
Difference Macdonald-Mehta conjectureInternational Mathematics Research Notices, 1997
-
D. Ciubotaru, Midori Kato, Syu Kato (2010)
On characters and formal degrees of discrete series of affine Hecke algebras of classical typesInventiones mathematicae, 187
-
G. Heckman, E. Opdam (1996)
Harmonic analysis for affine Hecke algebras, 1996
-
E. Opdam (2006)
Hecke algebras and harmonic analysis -
I. Cherednik (1994)
Integration of Quantum Many-Body Problems by Affine Knizhnik-Zamolodchikov EquationsAdvances in Mathematics, 106
-
E. Opdam, M. Solleveld (2008)
Discrete series characters for affine Hecke algebras and their formal degreesActa Mathematica, 205
-
I. Cherednik (2005)
Double Affine Hecke Algebras -
I. Cherednik (2014)
On Harish-Chandra theory of global nonsymmetric functionsarXiv: Quantum Algebra
-
I. Cherednik (2008)
Whittaker Limits of Difference Spherical FunctionsInternational Mathematics Research Notices, 2009
-
(2015)
From double Hecke algebras to Fourier transform -
G. Lusztig (1990)
Green functions and character sheavesAnnals of Mathematics, 131
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Institute for Mathematical Sciences (IMS), Stony Brook University, NY
- Subject
- Mathematics; Mathematics, general
- ISSN
- 2199-6792
- eISSN
- 2199-6806
- DOI
- 10.1007/s40598-018-0082-5
- Publisher site
- See Article on Publisher Site
Abstract
A method is suggested for obtaining the Plancherel measure for Affine Hecke Algebras as a limit of integral-type formulas for inner products in the polynomial and related modules of Double Affine Hecke Algebras. The analytic continuation necessary here is a generalization of “picking up residues” due to Arthur, Heckman, Opdam and others, which can be traced back to Hermann Weyl. Generally, it is a finite sum of integrals over double affine residual subtori; a complete formula is presented for $$A_1$$ A 1 in the spherical case.
Journal
Arnold Mathematical Journal – Springer Journals
Published: Apr 3, 2018