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Journal of Lie Theory 20 (2010), No. 2, 393--407
Copyright Heldermann Verlag 2010

Irreducible SLn+1--Representations Remain Indecomposable Restricted to Some Abelian Subalgebras

Paolo Casati
Dip. di Matematica e Applicazioni, UniversitÓ di Milano-Bicocca, Via Cozzi 53, 20125 Milano, Italy

We show that any irreducible finite dimensional representation of SLn+1 remains indecomposable if restricted to n-dimensional abelian subalgebras spanned by simple root vectors.

Keywords: Simple Lie algebras, indecomponsable representations.

MSC: 22E47

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