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

Mathematics – Representation Theory

Scientific paper

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17 pages

Scientific paper

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

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