N. A. Vavilov, “Numerology of square equations”, Algebra i Analiz, 20:5 (2008), 9–40; St. Petersburg Math. J., 20:5 (2009), 687

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Algebra i Analiz, 2008, Volume 20, Issue 5, Pages 9–40 (Mi aa529)

This article is cited in 14 scientific papers (total in 15 papers)

Research Papers

Numerology of square equations

N. A. Vavilov

St. Petersburg State University, Department of Mathematics and Mechanics

Full-text PDF (456 kB) Citations (15)

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Keywords: Chevalley groups, polyvector representations, spin representations, minimal modules, highest weight orbit, weight diagram, crystal graph, standard monomial theory, decomposition of unipotents, Plücker equations, Cartan equations, Borel–Freudenthal equations, projective octave plane.

Received: 01.04.2007

English version:
St. Petersburg Mathematical Journal, 2009, Volume 20, Issue 5, Pages 687–707
DOI: https://doi.org/10.1090/S1061-0022-09-01068-1

Bibliographic databases:

Document Type: Article

MSC: 20G15, 20G35

Language: Russian

Citation: N. A. Vavilov, “Numerology of square equations”, Algebra i Analiz, 20:5 (2008), 9–40; St. Petersburg Math. J., 20:5 (2009), 687–707

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa529

https://www.mathnet.ru/eng/aa/v20/i5/p9

This publication is cited in the following 15 articles:

E. B. Plotkin, A. I. Generalov, N. S. Geldkhauzer, N. L. Gordeev, A. Yu. Luzgarev, V. V. Nesterov, I. A. Panin, V. A. Petrov, S. Yu. Pilyugin, A. V. Stepanov, A. K. Stavrova, V. G. Khalin, “O Nikolae Aleksandroviche Vavilove”, Voprosy teorii predstavlenii algebr i grupp. 40, Posvyaschaetsya pamyati Nikolaya Aleksandrovicha VAVILOVA, Zap. nauchn. sem. POMI, 531, POMI, SPb., 2024, 7–40
N. A. Vavilov, V. V. Migrin, “Enhanced Dynkin Diagrams Done Right”, J Math Sci, 272:3 (2023), 349
N. Vavilov, V. Migrin, “Colourings of exceptional uniform polytopes of types $\mathrm{E}_6$ and $\mathrm{E}_7$ ”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye metody. XXXIV, Zap. nauchn. sem. POMI, 517, POMI, SPb., 2022, 36–54
N. A. Vavilov, V. Migrin, “Enhanced Dynkin diagrams done right”, Voprosy teorii predstavlenii algebr i grupp. 37, Zap. nauchn. sem. POMI, 500, POMI, SPb., 2021, 11–29
P. B. Gvozdevsky, “Overgroups of Levi subgroups I. The case of abelian unipotent radical”, St. Petersburg Math. J., 31:6 (2020), 969–999
J. Math. Sci. (N. Y.), 243:4 (2019), 515–526
M. M. Atamanova, A. Yu. Luzgarev, “Cubic forms on adjoint representations of exceptional groups”, J. Math. Sci. (N. Y.), 222:4 (2017), 370–379
J. Math. Sci. (N. Y.), 209:6 (2015), 922–934
N. A. Vavilov, A. Yu. Luzgarev, “Normaliser of the Chevalley group of type $\mathrm E_7$ ”, St. Petersburg Math. J., 27:6 (2016), 899–921
J. Math. Sci. (N. Y.), 219:3 (2016), 355–369
N. A. Vavilov, A. Yu. Luzgarev, “Chevalley group of type $\mathrm E_7$ in the 56-dimensional representation”, J. Math. Sci. (N. Y.), 180:3 (2012), 197–251
N. A. Vavilov, “An $\mathrm A_3$ -proof of the structure theorems for Chevalley groups of types $\mathrm E_6$ and $\mathrm E_7$ . II. The main lemma”, St. Petersburg Math. J., 23:6 (2012), 921–942
N. A. Vavilov, “Some more exceptional numerology”, J. Math. Sci. (N. Y.), 171:3 (2010), 317–321
N. A. Vavilov, “Stroenie izotropnykh reduktivnykh grupp”, Tr. In-ta matem., 18:1 (2010), 15–27
N. A. Vavilov, S. I. Nikolenko, “ $\mathrm A_2$ -proof of structure theorems for Chevalley groups of type $\mathrm F_4$ ”, St. Petersburg Math. J., 20:4 (2009), 527–551

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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