English

Irreducible $SL_{n+1}$--Representations remain Indecomposable restricted to some Abelian Subalgebras

Representation Theory 2010-02-16 v1 Rings and Algebras

Abstract

In this paper we show that any irreducible finite dimensional representation of SLn+1SL_{n+1} remains indecomposable if restricted to n--dimensional abelian subalgebras spanned by simple root vectors.

Keywords

Cite

@article{arxiv.1002.2840,
  title  = {Irreducible $SL_{n+1}$--Representations remain Indecomposable restricted to some Abelian Subalgebras},
  author = {Paolo Casati},
  journal= {arXiv preprint arXiv:1002.2840},
  year   = {2010}
}

Comments

17 pages