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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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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