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math.RT2015
Derived categories and Deligne-Lusztig varieties II
Cédric Bonnafé, Jean-François Dat, Raphaël Rouquier
This paper is a continuation and a completion of [BoRo1]. We extend the Jordan decomposition of blocks: we show that blocks of finite groups of Lie type in non-describing character…
math.RT2015
Cells and cacti
Cédric Bonnafé
Let be a Coxeter system, let be a weight function on and let denote the associated {\it cactus group}. Following an idea of I. Losev, we constr…
math.RT2015
Hecke algebras with unequal parameters and Vogan's left cell invariants
Cédric Bonnafé, Meinolf Geck
In 1979, Vogan introduced a generalised $\τ$ -invariant for characterising primitive ideals in enveloping algebras. Via a known dictionary this translates to an invariant of left c…