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Title: Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order (English)
Author: Burlakov, Mikhail P.
Author: Burlakov, Igor M.
Author: Jukl, Marek
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 55
Issue: 1
Year: 2016
Pages: 31-38
Summary lang: English
Category: math
Summary: The article is devoted to a generalization of Clifford and Grassmann algebras for the case of vector spaces over the field of complex numbers. The geometric interpretation of such generalizations are presented. Multieuclidean geometry is considered as well as the importance of it in physics. (English)
Keyword: Hypercomplex algebras
Keyword: geometry of spaces with fundamental form
Keyword: Clifford algebras
MSC: 15A66
MSC: 53B30
MSC: 57R15
idZBL: Zbl 1367.53014
idMR: MR3674597
Date available: 2016-08-30T11:51:55Z
Last updated: 2018-01-10
Stable URL:
Reference: [1] Rosenfeld, B. A.: Neevklidovy geometrii.. GITTL, Moscow, 1955, (in Russian).
Reference: [2] Burlakov, M. P.: Clifford structures on manifolds.. J. Math. Sci. 89, 3 (1998), 1311–1333, Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 30, Geometriya-3, 1995. Zbl 0930.53030, MR 1619716, 10.1007/BF02414874
Reference: [3] Burlakov, M. P.: Gamiltonovy algebry.. Graf-press, Moscow, 2006, (in Russian).
Reference: [4] Chelzen, F., Martin, A.: Kvarki i leptony.. Mir, Moscow, 1987, (in Russian).
Reference: [5] Penrouz, R., Rindler, V.: Spinory i prostranstvo-vremja.. Mir, Moscow, 1987, (in Russian). MR 0908073
Reference: [6] Efimov, N. V., Rozendorn, E. R.: Linear algebra and multidimensional geometry.. Nauka, Moscow, 1975, (in Russian).


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