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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 213, Number 3, Pages 413–417
DOI: https://doi.org/10.4213/tmf10368 (Mi tmf10368) 		 
Euler's difference table and the decomposition of tensor powers of the adjoint representation of the $A_n$ Lie algebra

A. M. Perelomov

Institute for Theoretical and Experimental Physics named by A. I. Alikhanov of National Research Centre "Kurchatov Institute», Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10368
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 $2k\le n+1$.
Keywords: Lie algebras, representation theory.
Received: 13.09.2022
Revised: 13.09.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 213, Issue 3, Pages 1665–1668
DOI: https://doi.org/10.1134/S0040577922120017
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Perelomov, “Euler's difference table and the decomposition of tensor powers of the adjoint representation of the $A_n$ Lie algebra”, TMF, 213:3 (2022), 413–417; Theoret. and Math. Phys., 213:3 (2022), 1665–1668
Citation in format AMSBIB
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\crossref{https://doi.org/10.1134/S0040577922120017}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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