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, Università di Milano-Bicocca, Via Cozzi 53, 20125 Milano, Italy
casati@matapp.unimib.it
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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