|
Zapiski Nauchnykh Seminarov POMI, 1997, Volume 236, Pages 183–191
(Mi znsl21)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Trigonometrical algebras
P. A. Terekhin Saratov State University named after N. G. Chernyshevsky
Abstract:
Euclidean $n$-dimensional spaces that have an analog of a vector product, i.e., a bilinear binary operation satisfying the identity $|x\cdot y|^2+(x,y)^2=|x|^2\cdot|y|^2$ ($(\cdot,\cdot)$ is a scalar product). It is clarified for which $n$ such a product exists.
Received: 21.11.1996
Citation:
P. A. Terekhin, “Trigonometrical algebras”, Problems in the theory of representations of algebras and groups. Part 5, Zap. Nauchn. Sem. POMI, 236, POMI, St. Petersburg, 1997, 183–191; J. Math. Sci. (New York), 95:2 (1999), 2156–2160
Linking options:
https://www.mathnet.ru/eng/znsl21 https://www.mathnet.ru/eng/znsl/v236/p183
|
Statistics & downloads: |
Abstract page: | 297 | Full-text PDF : | 79 | References: | 31 |
|