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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

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An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$
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by N. A. Vavilov and M. R. Gavrilovich
Translated by: N. A. Vavilov
St. Petersburg Math. J. 16 (2005), 649-672
DOI: https://doi.org/10.1090/S1061-0022-05-00871-X
Published electronically: June 21, 2005
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Bibliographic Information
  • N. A. Vavilov
  • Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Prospekt 28, Staryĭ Peterhof, St. Petersburg 198904, Russia
  • M. R. Gavrilovich
  • Affiliation: Oxford University, Great Britain
  • Received by editor(s): June 25, 2003
  • Published electronically: June 21, 2005
  • Additional Notes: The present paper has been written in the framework of the RFBR projects 01-01-00924 (St. Petersburg State University), 03-01-00349 (POMI RAN). Part of the work was carried out during the authors’ joint stay at the University of Bielefeld supported by SFB-343 and INTAS 00-566. At the final stage, the work was supported by express grants of the Russian Ministry of Higher Education ‘Geometry of root subgroups’ PD02-1.1-371 and ‘Overgroups of semisimple groups’ E02-1.0-61, and the 2003 program of the Presidium of the Russian Academy of Sciences ‘Research in fundamental directions of modern mathematics’.
  • © Copyright 2005 American Mathematical Society
  • Journal: St. Petersburg Math. J. 16 (2005), 649-672
  • MSC (2000): Primary 20G15, 20G35
  • DOI: https://doi.org/10.1090/S1061-0022-05-00871-X
  • MathSciNet review: 2090851