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math.RT2015
RoCK blocks, wreath products and KLR algebras
Anton Evseev
We consider RoCK (or Rouquier) blocks of symmetric groups and Hecke algebras at roots of unity. We prove a conjecture of Turner asserting that a certain idempotent truncation of a…
math.RT2015
On graded Cartan invariants of symmetric groups and Hecke algebras
Anton Evseev, Shunsuke Tsuchioka
We consider graded Cartan matrices of the symmetric groups and the Iwahori-Hecke algebras of type A, which have entries in the ring . These matrices may also b…