Cubic Forms on Adjoint Representations of Exceptional Groups


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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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