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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 1, Pages 127–138
DOI: https://doi.org/10.4213/tmf8924 (Mi tmf8924) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Splints of root systems for special Lie subalgebras

V. D. Lyakhovsky, A.A. Nazarov, P. I. Kakin

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (461 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf8924
Abstract: We consider special embeddings of a Lie subalgebra into simple Lie algebras. We classify the projections of algebra root systems and obtain the conditions under which a splint appears and the branching coefficients coincide with the weight multiplicities. Although such a coincidence is infrequent, it turns out to be connected with the Gelfand–Tsetlin basis.
Keywords: Lie algebra, special subalgebra, branching, weight multiplicity, splint.
Funding agency Grant number
Saint Petersburg State University 11.38.185.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 1, Pages 1471–1480
DOI: https://doi.org/10.1007/s11232-015-0356-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. D. Lyakhovsky, A.A. Nazarov, P. I. Kakin, “Splints of root systems for special Lie subalgebras”, TMF, 185:1 (2015), 127–138; Theoret. and Math. Phys., 185:1 (2015), 1471–1480
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8924
  • https://www.mathnet.ru/eng/tmf/v185/i1/p127
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:72
    First page:37
     
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