On abelian unitary involutions of crossed products
https://doi.org/10.29235/1561-8323-2024-68-1-15-17
Abstract
In the theory of classical linear algebraic groups, of importance are special unitary groups of non-commuted involution crossed products with division. The description of these groups largely depends on the involution type of these products. The class of Abelian involution crossed products is considered and the criterion for their existence is set provided that unitary bases (with respect to these involutions) are present in these products.
Supporting agencies: The research is financial supported by the BRFFR (project no. Ф23-050). The author is grateful to A. A. Osinovskaya for the great assistance in typing the article
About the Author
V. I. Yanchevskiĭ
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Yanchevskiĭ Vyacheslav I. – Academician, D. Sc. (Physics and Mathematics), Professor, Head of the Department.
11, Surganov Str., 220012, Minsk
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