Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0729.20016
Curtis, Charles W.
Representations of Hecke algebras. (English)
[A] Orbites unipotentes et représentations. I. Groupes finis et algèbres de Hecke, Astérisque 168, 13-60 (1988).

[For the entire collection see Zbl 0695.00014.] \par Let G be a finite Chevalley group, W its Weyl group and H the generic Hecke algebra of W. The author discusses the impact of the positivity properties of the coefficients of the Kazhdan-Lusztig polynomials and the structure constants of H for the Kazhdan-Lusztig basis for the structure and representation theory of H. He reproves recent results of G. Lusztig using positivity results and some ideas from unpublished lecture notes by T. A. Springer.
[T.Józefiak (East Lansing)]

MSC 2000:: *20G05 Representation theory of linear algebraic groups
20F55 Coxeter groups
20C33 Representations of finite groups of Lie type

Keywords: finite Chevalley group; Weyl group; generic Hecke algebra; positivity; Kazhdan-Lusztig polynomials; representation

Citations: Zbl 0695.00014

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]