Speaker: Ana Bernal (Reims)
Title: On Self-Mullineux and Self-Conjugate Partitions
Abstract:
The Mullineux involution is an important map that appears in the study of the modular representations of the symmetric group and the alternating group. The fixed points of this map are certain partitions of particular interest. It is known that the cardinality of the set of these self-Mullineux partitions is equal to the cardinality of a distinguished subset of self-conjugate partitions. In this talk, I will show an explicit bijection between the two families of partitions in terms of the Mullineux symbol.