A significant part of this chapter will be dedicated to the construction of the simple \({\mathbb{F}}G\) -modules. This classical construction generalises to the case of finite reductive groups. Having obtained this description, the determination of the decomposition matrices is straightforward.

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Simple Modules, Decomposition Matrix, Blocks

  • Cédric Bonnafé

摘要

A significant part of this chapter will be dedicated to the construction of the simple \({\mathbb{F}}G\) -modules. This classical construction generalises to the case of finite reductive groups. Having obtained this description, the determination of the decomposition matrices is straightforward.