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

Abstract

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

17 pages

References in corpus (1)

• Weight multiplicities for so5(C)

Cited by in corpus (4)

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• Wide subalgebras of semisimple Lie algebras
• The classification of the cyclic $\mathfrak{sl}(n+1)\ltimes \mathbbm{C}^{n+1}$--modules
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