Cubic Forms on Adjoint Representations of Exceptional Groups
- Authors: Atamanova M.M.1, Luzgarev A.Y.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 222, No 4 (2017)
- Pages: 370-379
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239206
- DOI: https://doi.org/10.1007/s10958-017-3307-6
- ID: 239206
Cite item
Abstract
On the adjoint representation of the Chevalley group of type E7, cubic forms are constructed so that their partial derivatives are linear combinations of equations on the orbit of the highest weight vector. These forms are described in terms of new combinatorial notions related to maximal squares in root systems of exceptional types. Bibliography 17 titles.
About the authors
M. M. Atamanova
St.Petersburg State University
Author for correspondence.
Email: mariya_atm@mail.ru
Russian Federation, St.Petersburg
A. Yu. Luzgarev
St.Petersburg State University
Email: mariya_atm@mail.ru
Russian Federation, St.Petersburg
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