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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 500, Pages 11–29
(Mi znsl7063)
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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
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.
Received: 27.05.2021
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
Linking options:
https://www.mathnet.ru/eng/znsl7063 https://www.mathnet.ru/eng/znsl/v500/p11
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Abstract page: | 162 | Full-text PDF : | 82 | References: | 20 |
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