Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 220, Pages 33–37
DOI: https://doi.org/10.36535/0233-6723-2023-220-33-37 (Mi into1114) 		 
On a generalization of the quaternion algebra

I. M. Burlakov

Tver State University
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DOI: https://doi.org/10.36535/0233-6723-2023-220-33-37
Abstract: In this paper, we consider a generalization of quaternion algebras and hypercomplex Clifford algebras over the field of complex numbers in which the $m$th power of a vector of the underlying space is the sum of the $m$th powers of the coordinates of this vector.
Keywords: quaternions, Clifford algebras, cyclic algebras, group algebras, doubling procedure.
Document Type: Article
UDC: 512.62, 514.16
MSC: 15A66, 15A69, 15A72
Language: Russian
Citation: I. M. Burlakov, “On a generalization of the quaternion algebra”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 220, VINITI, Moscow, 2023, 33–37
Citation in format AMSBIB
\Bibitem{Bur23}
\by I.~M.~Burlakov
\paper On a generalization of the quaternion algebra
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). 
Moscow, November 1–4, 2021. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 220
\pages 33--37
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1114}
\crossref{https://doi.org/10.36535/0233-6723-2023-220-33-37}
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