Summary: The Schur Indices of Irreducible Characters of the
Groups of Abstract Regular Polytopes
University of Regina
Workshop on Graphs, Maps, and Polytopes
October 24 - 27, 2011
Let F be a subfield of C.
Let A be a finite-dimensional semisimple F-algebra.
· runs over the Galois conjugacy classes of irreducible characters
of A C,
· D EndA(V ) is a division algebra that centralizes the image of
A in EndF (V ), for any irreducible A-module V whose complex