REPRESENTATIONS OF THE ALTERNATING GROUP WHICH ARE IRREDUCIBLE OVER SUBGROUPS
主 题: REPRESENTATIONS OF THE ALTERNATING GROUP WHICH ARE IRREDUCIBLE OVER SUBGROUPS
报告人: Peter Sin (University of Florida, USA)
时 间: 2016-07-25 10:00 - 11:00
地 点: 数学中心 78号院 78-406
Abstract. (Joint work with A. Kleshchev and P. H. Tiep.) We prove that non-trivial representations of the alternating group $A_n$ are reducible over a primitive proper subgroup which is isomorphic to some alternating group $A_m$ . A similar result is established for finite simple classical groups embedded in $A_n$ via their standard rank 3 permutation representations.
