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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© 2009 Springer-Verlag Berlin Heidelberg
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Chlouveraki, M. (2009). On the Determination of the Rouquier Blocks. In: Blocks and Families for Cyclotomic Hecke Algebras. Lecture Notes in Mathematics(), vol 1981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03064-2_5
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DOI: https://doi.org/10.1007/978-3-642-03064-2_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03063-5
Online ISBN: 978-3-642-03064-2
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