2 citations · 2 across the 4 of their papers we have counts for
4 papers
Relations between permutation representations in positive characteristic
Alex Bartel, Matthew Spencer
Given a finite group G and a field F, a G-set X gives rise to an F[G]-permutation module F[X]. This defines a map from the Burnside ring of G to its representation ring over F. It…
Brauer relations for finite groups in the ring of semisimplified modular representations
Matthew Spencer
Let be a finite group and be a prime. We study the kernel of the map, between the Burnside ring of and the Grothendieck ring of -modules, taking a -…
A note on Green functors with inflation
Alex Bartel, Matthew Spencer
This note is motivated by the problem to understand, given a commutative ring F, which G-sets X, Y give rise to isomorphic F[G]-representations F[X]\cong F[Y]. A typical step in su…
Invariant metrics with nonnegative curvature on compact Lie groups
Nathan Brown, Rachel Finck, Matthew Spencer +2
We classify left invariant metrics with nonnegative curvature on SO(3) and U(2).