Journal of Lie Theory

no. 2
Irreducible SLn+1--Representations Remain Indecomposable Restricted to Some Abelian Subalgebras
Journal of Lie Theory, Volume 20 (2010) no. 2, pp. 393-407
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.
DOI: 10.5802/jolt.602
Classification: 22E47
Keywords: Simple Lie algebras, indecomponsable representations 
@article{JOLT_2010_20_2_a8,
     author = {P. 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},
     doi = {10.5802/jolt.602},
     zbl = {1223.17011},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.602/}
}
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%A P. Casati
%T Irreducible SLn+1--Representations Remain Indecomposable Restricted to Some Abelian Subalgebras
%J Journal of Lie Theory
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P. Casati. Irreducible SLn+1--Representations Remain Indecomposable Restricted to Some Abelian Subalgebras. Journal of Lie Theory, Volume 20 (2010) no. 2, pp. 393-407. doi: 10.5802/jolt.602

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