Geodesic
Irreducible SLn+1--Representations Remain Indecomposable Restricted to Some Abelian Subalgebras
Paolo Casati1
1Dip. di Matematica e Applicazioni, Università di Milano-Bicocca, Via Cozzi 53, 20125 Milano, Italy
Journal of Lie Theory, Tome 20 (2010) no. 2, pp. 393-407

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22E47
Mots-clés : Simple Lie algebras, indecomponsable representations

Paolo Casati  1

1 Dip. di Matematica e Applicazioni, Università di Milano-Bicocca, Via Cozzi 53, 20125 Milano, Italy 
Paolo Casati. Irreducible SLn+1--Representations Remain Indecomposable Restricted to Some Abelian Subalgebras. Journal of Lie Theory, Tome 20 (2010) no. 2, pp. 393-407. http://geodesic.mathdoc.fr/item/JOLT_2010_20_2_a8/
@article{JOLT_2010_20_2_a8,
     author = {Paolo Casati},
     title = {Irreducible {SL\protect\textsubscript{n+1}--Representations} {Remain} {Indecomposable} {Restricted} to {Some} {Abelian} {Subalgebras}},
     journal = {Journal of Lie Theory},
     pages = {393--407},
     year = {2010},
     volume = {20},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2010_20_2_a8/}
}
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