The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups
Author: Jian-Yi Shi
Publisher: Springer
Published: 2006-11-14
Total Pages: 318
ISBN-13: 3540397809
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On Cells in Affine Weyl Groups
Author: Gregory Michael Lawton
Publisher:
Published: 1986
Total Pages: 298
ISBN-13:
DOWNLOAD EBOOKThe Based Ring of Two-Sided Cells of Affine Weyl Groups of Type An-B1s
Author: J Ritter
Publisher:
Published: 2014-09-11
Total Pages: 95
ISBN-13: 9781470403423
DOWNLOAD EBOOKAims to prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde {A}_{n-1}$
Author: Nanhua Xi
Publisher: American Mathematical Soc.
Published: 2002
Total Pages: 114
ISBN-13: 0821828916
DOWNLOAD EBOOKIn this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
The Decomposition Into Cells of the Affine Weyl Groups of Type A
Author: Jian-Yi Shi
Publisher:
Published: 2018
Total Pages: 466
ISBN-13:
DOWNLOAD EBOOKThe Decomposition Into Cells of the Affine Weyl Groups of Type A.
Author: J. Y. Shi
Publisher:
Published: 1984
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKThe Based Ring of Two-sided Cells of Affine Weyl Groups of Type Ãn-b1
Author: Nanhua Xi
Publisher:
Published: 2002
Total Pages:
ISBN-13:
DOWNLOAD EBOOKThe Based Ring of Two-sided Cells of Affine Weyl Groups of Type Ìn_-_1_
Author: Nanhua Xi
Publisher: American Mathematical Soc.
Published: 2002-03-19
Total Pages: 116
ISBN-13: 9780821864715
DOWNLOAD EBOOKIn this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
Cells in Affine Weyl Groups and Tilting Modules
Author: Henning Haahr Andersen
Publisher:
Published: 2001
Total Pages: 18
ISBN-13:
DOWNLOAD EBOOKKazhdan-Lusztig Cells in Affine Weyl Groups with Unequal Parameters
Author: Jérémie Guilhot
Publisher:
Published: 2008
Total Pages: 120
ISBN-13:
DOWNLOAD EBOOKHecke algebras arise naturally in the representation theory of reductive groups over finite or p-adic fields. These algebras are specializations of Iwahori-Hecke algebras which can be defined in terms of a Coxeter group and a weight function without reference to reductive groups and this is the setting we are working in. Kazhdan-Lusztig cells play a crucial role in the study of Iwahori-Hecke algebras. The aim of this work is to study the Kazhdan-Lusztig cells in affine Weyl groups with unequal parameters. More precisely, we show that the Kazhdan-Lusztig polynomials of an affine Weyl group are invariant under ``long enough'' translations, we decompose the lowest two-sided cell into left cells and we determine the decomposition of the affine Weyl group of type G into cells for a whole class of weight functions.
