Skip to main content

On the Determination of the Rouquier Blocks

  • 587 Accesses

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Maria Chlouveraki .

Rights and permissions

Reprints and Permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

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

Download citation