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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 398, Pages 162–178 (Mi znsl5201)  
This article is cited in 1 scientific paper (total in 1 paper)

Fan, splint, and branching rules

V. D. Lyakhovskya, A. A. Nazarovb

a Department of High-Energy and Elementary Particle Physics, SPb State University, St. Petersburg, Russia
b Department of Mathematics and Mechanics, SPb State University, Chebyshev Laboratory, St. Petersburg, Russia
Full-text PDF (257 kB) Citations (1)
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Abstract: Splint of root system for simple Lie algebra appears naturally in studies of (regular) embeddings of reductive subalgebras. Splint can be used to construct branching rules. We demonstrate that splint properties implementation drastically simplify calculations of branching coefficients.
Key words and phrases: Lie algebras, representation theory, root systems, branching rules.
Received: 15.10.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 1, Pages 91–100
DOI: https://doi.org/10.1007/s10958-013-1376-8
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: V. D. Lyakhovsky, A. A. Nazarov, “Fan, splint, and branching rules”, Questions of quantum field theory and statistical physics. Part 22, Zap. Nauchn. Sem. POMI, 398, POMI, St. Petersburg, 2012, 162–178; J. Math. Sci. (N. Y.), 192:1 (2013), 91–100
Citation in format AMSBIB
\Bibitem{LyaNaz12}
\by V.~D.~Lyakhovsky, A.~A.~Nazarov
\paper Fan, splint, and branching rules
\inbook Questions of quantum field theory and statistical physics. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 398
\pages 162--178
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5201}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2944994}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 1
\pages 91--100
\crossref{https://doi.org/10.1007/s10958-013-1376-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884990032}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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