English

Decomposition of tensor products of modular irreducibles for $\SL_2$

Representation Theory 2007-05-23 v1 Group Theory

Abstract

We use tilting modules to study the structure of the tensor product of two simple modules for the algebraic group \SL2\SL_2, in positive characteristic, obtaining a twisted tensor product theorem for its indecomposable direct summands. Various other related results are obtained, and numerous examples are computed.

Keywords

Cite

@article{arxiv.math/0205186,
  title  = {Decomposition of tensor products of modular irreducibles for $\SL_2$},
  author = {Stephen Doty and Anne Henke},
  journal= {arXiv preprint arXiv:math/0205186},
  year   = {2007}
}