Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order

Mikhail P. Burlakov; Igor M. Burlakov; Marek Jukl

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2016)

  • Volume: 55, Issue: 1, page 31-38
  • ISSN: 0231-9721

Abstract

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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.

How to cite

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Burlakov, Mikhail P., Burlakov, Igor M., and Jukl, Marek. "Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.1 (2016): 31-38. <http://eudml.org/doc/286704>.

@article{Burlakov2016,
abstract = {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.},
author = {Burlakov, Mikhail P., Burlakov, Igor M., Jukl, Marek},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Hypercomplex algebras; geometry of spaces with fundamental form; Clifford algebras},
language = {eng},
number = {1},
pages = {31-38},
publisher = {Palacký University Olomouc},
title = {Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order},
url = {http://eudml.org/doc/286704},
volume = {55},
year = {2016},
}

TY - JOUR
AU - Burlakov, Mikhail P.
AU - Burlakov, Igor M.
AU - Jukl, Marek
TI - Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2016
PB - Palacký University Olomouc
VL - 55
IS - 1
SP - 31
EP - 38
AB - 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.
LA - eng
KW - Hypercomplex algebras; geometry of spaces with fundamental form; Clifford algebras
UR - http://eudml.org/doc/286704
ER -

References

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  1. Rosenfeld, B. A., Neevklidovy geometrii, . GITTL, Moscow, 1955, (in Russian). (1955) 
  2. Burlakov, M. P., 10.1007/BF02414874, . 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. (1998) Zbl0930.53030MR1619716DOI10.1007/BF02414874
  3. Burlakov, M. P., Gamiltonovy algebry, . Graf-press, Moscow, 2006, (in Russian). (2006) 
  4. Chelzen, F., Martin, A., Kvarki i leptony, . Mir, Moscow, 1987, (in Russian). (1987) 
  5. Penrouz, R., Rindler, V., Spinory i prostranstvo-vremja, . Mir, Moscow, 1987, (in Russian). (1987) MR0908073
  6. Efimov, N. V., Rozendorn, E. R., Linear algebra and multidimensional geometry, . Nauka, Moscow, 1975, (in Russian). (1975) 

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