Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
The Schur Indices of Irreducible Characters of the Groups of Abstract Regular Polytopes
 

Summary: The Schur Indices of Irreducible Characters of the
Groups of Abstract Regular Polytopes
Allen Herman
University of Regina
Workshop on Graphs, Maps, and Polytopes
Fields Institute
Toronto, Ontario
October 24 - 27, 2011
Schur Indices?
Let F be a subfield of C.
Let A be a finite-dimensional semisimple F-algebra.
Then
A

Mr (D),
where
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

  

Source: Argerami, Martin - Department of Mathematics and Statistics, University of Regina

 

Collections: Mathematics