Irreducible SL_(n+1)--Representations remain Indecomposable restricted to some Abelian Subalgebras
classification
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math.RA
keywords
abelianindecomposableirreduciblerestrictedsubalgebrasdimensionalfiniten--dimensional
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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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