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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 455, Pages 130–153 (Mi znsl6412)  
This article is cited in 1 scientific paper (total in 1 paper)

The restrictions of representations of the special linear group to subsystem subgroups of type $A_2$

A. A. Osinovskaya

Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus
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Abstract: The restrictions of irreducible representations of the special linear group over an algebraically closed field of positive characteristic $p$ to subsystem subgroups of type $A_2$ are studied. The composition factors for such restrictions are described in the case where the highest weights of the representations are locally small.
Key words and phrases: special linear groups, representations, restrictions to subgroups, branching rules, composition factors.
Funding agency Grant number
Ministry of Education of the Republic of Belarus
Received: 31.01.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 2, Pages 203–218
DOI: https://doi.org/10.1007/s10958-018-3997-4
Document Type: Article
UDC: 512.554.32
Language: Russian
Citation: A. A. Osinovskaya, “The restrictions of representations of the special linear group to subsystem subgroups of type $A_2$”, Problems in the theory of representations of algebras and groups. Part 31, Zap. Nauchn. Sem. POMI, 455, POMI, St. Petersburg, 2017, 130–153; J. Math. Sci. (N. Y.), 234:2 (2018), 203–218
Citation in format AMSBIB
\Bibitem{Osi17}
\by A.~A.~Osinovskaya
\paper The restrictions of representations of the special linear group to subsystem subgroups of type~$A_2$
\inbook Problems in the theory of representations of algebras and groups. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 455
\pages 130--153
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6412}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 2
\pages 203--218
\crossref{https://doi.org/10.1007/s10958-018-3997-4}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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