Recall that p is odd in this part. In this chapter we will determine the simple kG-modules and the decomposition matrix Dec( \(\mathscr{O}\) G), as a function of the prime number ℓ. This study will be carried out block by block, or more precisely by type of block (nilpotent, quasi-isolated, principal).

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Simple Modules, Decomposition Matrices

  • Cédric Bonnafé

摘要

Recall that p is odd in this part. In this chapter we will determine the simple kG-modules and the decomposition matrix Dec( \(\mathscr{O}\) G), as a function of the prime number ℓ. This study will be carried out block by block, or more precisely by type of block (nilpotent, quasi-isolated, principal).