Advertisement

Kazhdan–Lusztig Cells and Cellular Bases

  • Meinolf Geck
  • Nicolas Jacon
Part of the Algebra and Applications book series (AA, volume 15)

Abstract

The aim of this chapter is to develop a general framework for studying the representation theory of Iwahori-Hecke algebras associated to finite Coxeter groups. Using the Kazhdan-Lustig basis, we give a construction of a cellular basis for the Iwahori-Hecke algebra in the sense of Graham and Lehrer. This gives rise to a general theory of “Specht modules” in which Lusztig’s a-function plays, again, a central role. The chapter ends with an elementary treatment of the case where W is the symmetric group.

Keywords

Weyl Group Parabolic Subgroup Coxeter Group Cell Module Cellular Basis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of AberdeenAberdeenUK
  2. 2.UFR Sciences et TechniquesUniversité de Franche-ComtéBesanconFrance

Personalised recommendations