99 citations · 492 across the 111 of their papers we have counts for
3 papers · 2 filters
Representation Growth in positive characteristic and conjugacy classes of maximal subgroups
Robert Guralnick, Michael Larsen, Pham Huu Tiep
We study the representation growth of alternating and symmetric groups in positive characteristic and restricted representation growth for the finite groups of Lie type. We show th…
Certain subgroups of Weyl groups are split
Daniel Goldstein, Robert Guralnick
Let C be the centralizer in a finite Weyl group of an elementary abelian 2-subgroup. We show that every complex representation of C can be realized over the field of rational numbe…
Low Degree Representations of Simple Lie Groups
Robert Guralnick, Michael Larsen, Corey Manack
We give upper bounds for the number of irreducible representations of dimension at most n for a compact semisimple Lie group. In particular, we prove that there are at most n irred…