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Zapiski Nauchnykh Seminarov POMI, 1993, Volume 205, Pages 30–37 (Mi znsl5793)  
This article is cited in 9 scientific papers (total in 9 papers)

Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras

A. N. Kirillov, N. Yu. Reshetikhin
Full-text PDF (344 kB) Citations (9)
Abstract: New combinatorial formulas for multiplicities in the decomposition of the tensor product of representations of simple Lie algebras into irreducible components are obtained. A connection of the arising constructions with the Bethe equations and representation theory of Yangians is established. Bibliography: 14 titles.
English version:
Journal of Mathematical Sciences, 1996, Volume 80, Issue 3, Pages 1768–1772
DOI: https://doi.org/10.1007/BF02362776
Bibliographic databases:
Document Type: Article
UDC: 512.81
Language: Russian
Citation: A. N. Kirillov, N. Yu. Reshetikhin, “Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras”, Differential geometry, Lie groups and mechanics. Part 13, Zap. Nauchn. Sem. POMI, 205, Nauka, St. Petersburg, 1993, 30–37; J. Math. Sci., 80:3 (1996), 1768–1772
Citation in format AMSBIB
\Bibitem{KirRes93}
\by A.~N.~Kirillov, N.~Yu.~Reshetikhin
\paper Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras
\inbook Differential geometry, Lie groups and mechanics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1993
\vol 205
\pages 30--37
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5793}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1255302}
\zmath{https://zbmath.org/?q=an:0815.17007|0860.17008}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 80
\issue 3
\pages 1768--1772
\crossref{https://doi.org/10.1007/BF02362776}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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