Abstract
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 \(2k\le n+1\).
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Notes
For the basic notation for Lie algebras, see, e.g., [1].
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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, 2022, Vol. 213, pp. 413–417 https://doi.org/10.4213/tmf10368.
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Perelomov, A.M. Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the \(A_n\) Lie algebra. Theor Math Phys 213, 1665–1668 (2022). https://doi.org/10.1134/S0040577922120017
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DOI: https://doi.org/10.1134/S0040577922120017