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Your search keyword '"Semenov, Andrei V."' showing total 2 results
Start Over Author "Semenov, Andrei V." Topic algebra
2 results on '"Semenov, Andrei V."'

1. Geometry of symmetric spaces of type EVI.

Author

Petrov, Victor A. and Semenov, Andrei V.

Subjects
*SYMMETRIC spaces, *GEOMETRY, *STEINER systems, *ALGEBRA
Abstract

We generalize Atsuyama's result on the geometry of symmetric spaces of type EVI to the case of fields of characteristic zero. We relate the possible mutual positions of two points with the classification of balanced symplectic ternary algebras (also known as Freudenthal triple systems). [ABSTRACT FROM AUTHOR]

Published
2024
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2. Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra.

Author

Petrov, Viktor A. and Semenov, Andrei V.

Subjects
*AUTOMORPHISM groups, *LINEAR algebraic groups, *ALGEBRA, *PROJECTORS
Abstract

We show that any adjoint absolutely simple linear algebraic group over a field of characteristic zero is the automorphism group of some projector on a central simple algebra. Projective homogeneous varieties can be described in these terms; in particular, we reproduce quadratic equations by Lichtenstein defining them. [ABSTRACT FROM AUTHOR]

Published
2020
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