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On the Determination of the Rouquier Blocks

  • Maria ChlouverakiEmail author
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Part of the Lecture Notes in Mathematics book series (LNM, volume 1981)

Abstract

The aim of this chapter is the determination of the Rouquier blocks of the cyclotomic Hecke algebras of all irreducible complex reflection groups. In the previous chapter, we saw that the Rouquier blocks have the property of “semicontinuity”. This property allows us to obtain the Rouquier blocks for any cyclotomic Hecke algebra by actually calculating them in a small number of cases. Following the theory developed in the two previous chapters, we only need to determine the Rouquier blocks “associated with no and with each essential hyperplane” for all irreducible complex reflection groups.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.École Polytechnique Fédérale de LausanneSB IGAT CTGLausanneSwitzerland

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