Geodesic
Euler's difference table and the~decomposition of tensor powers of the~adjoint representation of the~$A_n$ Lie algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 413-417

Voir la notice de l'article provenant de la source Math-Net.Ru

By using Euler's difference table, we obtain a simple explicit formula for the decomposition of the $k$th tensor power of the adjoint representation of the $A_n$ Lie algebra at $2k\le n+1$.
Mots-clés : Lie algebras
Keywords: representation theory. 
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     title = {Euler's difference table and the~decomposition of tensor powers of the~adjoint representation of the~$A_n$ {Lie} algebra},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a0/}
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A. M. Perelomov. Euler's difference table and the~decomposition of tensor powers of the~adjoint representation of the~$A_n$ Lie algebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 413-417. http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a0/