A note on Franel numbers and \(\mathrm{SU}(3)\)

DOI10.1007/s00009-021-01773-xzbMath1486.17015arXiv1911.04346OpenAlexW3164673739MaRDI QIDQ2039621

A. M. Perelomov, W. García Fuertes, José Fernández Núñez

Publication date: 5 July 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04346

zbMATH Keywords

integrable systemsLie algebrasrepresentation theoryFranel numbersweight multiplicities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Cites Work

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• Euler’s triangle and the decomposition of tensor powers of the adjoint 𝔰𝔩(2)-module
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