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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://www.mathnet.ru/eng/tmf8924
  • https://doi.org/10.4213/tmf8924
  • https://www.mathnet.ru/eng/tmf/v185/i1/p127
    • This publication is cited in the following 2 articles:
    1. Crew L., Kirillov A.A., Yeo Ya.-R., “Branching Rules For Splint Root Systems”, Algebr. Represent. Theory, 25:4 (2022), 963–981  crossref  isi
    2. R. N. Padhan, K. C. Pati, “Splints of root systems of basic lie superalgebras”, 32Nd International Colloquium on Group Theoretical Methods in Physics (Group32), Journal of Physics Conference Series, 1194, IOP Publishing Ltd, 2019, 012085  crossref  isi
    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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    Abstract page:309
    Full-text PDF :166
    References:81
    First page:37
     
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