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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 500, Pages 11–29 (Mi znsl7063)  

This article is cited in 1 scientific paper (total in 1 paper)

Enhanced Dynkin diagrams done right

N. A. Vavilov, V. Migrin

Dept. of Mathematics and Computer Science, St Petersburg State University, St Petersburg, Russia
Full-text PDF (217 kB) Citations (1)
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Abstract: In the present paper we slightly modify the Dynkin–Minchenko construction of enhanced Dynkin diagrams and construct signed enhanced Dynkin diagrams of exceptional types $\Phi=\mathrm{E}_6$, $\mathrm{E}_7$, $\mathrm{E}_8$. We observe that these diagrams contain as subdiagrams all Carter–Stekolshchik diagrams of conjugacy classes of the Weyl groups $W(\Phi)$.
Key words and phrases: Exceptional root systems, root subsystems, conjugacy classes of the Weyl group, Dynkin diagrams, Carter diagrams.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS 20-7-1-27-1
The first named author was supported by the “Basis” Foundation grant 20-7-1-27-1.
Received: 27.05.2021
Document Type: Article
UDC: 512.5
Language: English
Citation: N. A. Vavilov, V. Migrin, “Enhanced Dynkin diagrams done right”, Problems in the theory of representations of algebras and groups. Part 37, Zap. Nauchn. Sem. POMI, 500, POMI, St. Petersburg, 2021, 11–29
Citation in format AMSBIB
\Bibitem{VavMig21}
\by N.~A.~Vavilov, V.~Migrin
\paper Enhanced Dynkin diagrams done right
\inbook Problems in the theory of representations of algebras and groups. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 500
\pages 11--29
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7063}
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  • https://www.mathnet.ru/eng/znsl7063
  • https://www.mathnet.ru/eng/znsl/v500/p11
  • 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
    Записки научных семинаров ПОМИ
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