Very simple representations: variations on a theme of Clifford

2002/09/08 by Yuri G. Zarhin, Zarhin, Yuri G.
Mathematics · #14H40 #20C07 #20C25 #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #math.AG #math.GR #msc:14H40 #msc:20C07 #msc:20C25

paper · pdf · doi:10.48550/arxiv.math/0209083

LaTeX2e, 14 pages We added a discussion of interrelations between very simple representations and doubly transitive permutation groups

arxiv created 2003/01/16 · arxiv updated 2009/11/30

Abstract

We discuss a certain class of absolutely irreducible group representations that behave nicely under the restriction to normal subgroups and subalgebras. These representations proved to be useful for the construction of abelian varieties with small endomorphism rings.

Related

• Abelian Group Clifford Algebras
• Special classes of irreducible representations I
• The Fine Moduli Space of Representations of Clifford Algebras
• On the Structure Theorem of Clifford Algebras
• On the irreducible representations of a finite semigroup