Lie Groups and Representation Theory

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Date, time & place Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.)

2014/04/15

16:30-18:00   Room #126 (Graduate School of Math. Sci. Bldg.)
Shunsuke Tsuchioka (the University of Tokyo)
Toward the graded Cartan invariants of the symmetric groups (JAPANESE)
[ Abstract ]
We propose a graded analog of Hill's conjecture which is equivalent to K\\"ulshammer-Olsson-Robinson's conjecture on the generalized Cartan invariants of the symmetric groups.
We give justifications for it and discuss implications between the variants.
Some materials are based on the joint work with Anton Evseev.