On Tensor Products of Simple Modules for Simple Groups

Details On Tensor Products of Simple Modules for Simple Groups On Tensor Products of Simple Modules for Simple Groups

2011-02-16

arxiv.org/abs/1102.3447v1

Mathematics

Representation Theory

Scientific paper

In an attempt to get some information on the multiplicative structure of the Green ring we study algebraic modules for simple groups, and associated groups such as quasisimple and almost-simple groups. We prove that, for almost all groups of Lie type in defining characteristic, the natural module is non-algebraic. For alternating and symmetric groups, we prove that the simple modules in $p$-blocks with defect groups of order $p^2$ are algebraic, for $p\leq 5$. Finally, we analyze nine sporadic groups, finding that all simple modules are algebraic for various primes and sporadic groups

Affiliated with

Also associated with

No associations

Rating

On Tensor Products of Simple Modules for Simple Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Tensor Products of Simple Modules for Simple Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Tensor Products of Simple Modules for Simple Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-379664