Zobrazeno 1 - 10
of 21
pro vyhledávání: '"M. G. Mahmoudi"'
Autor:
M. G. Mahmoudi
Publikováno v:
Bulletin of the Iranian Mathematical Society. 46:253-262
We investigate the structure of normal subgroups of the unit group of a quaternion algebra over a pythagorean field.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5587e4e7d5a1288959fc9881066a40f5
https://doi.org/10.1007/s41980-019-00254-y
https://doi.org/10.1007/s41980-019-00254-y
Autor:
M. G. Mahmoudi
Publikováno v:
The American Mathematical Monthly. 126:340-350
This article aims to present a geometric interpretation of the simplicity of the rotation group of three-dimensional Euclidean space. Some historical remarks on the subject and an overview of a col...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::626688e3b04b5eaf769fe74387183ab3
https://doi.org/10.1080/00029890.2019.1562826
https://doi.org/10.1080/00029890.2019.1562826
Autor:
H. H. Sidhwa, M. G. Mahmoudi
Publikováno v:
Advances in Applied Clifford Algebras. 31
In this paper, we complement some recent results of L. Marki, J. Meyer, J. Szigeti and L. van Wyk, by investigating the constant-trace representations of a Clifford algebra $$C(V)$$ of an arbitrary quadratic form $$q:V\rightarrow F$$ (possibly degene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a72b52c814636fdeb2c77a9f0ae0eef6
https://doi.org/10.1007/s00006-021-01150-7
https://doi.org/10.1007/s00006-021-01150-7
Autor:
M. G. Mahmoudi
Publikováno v:
The Mathematical Gazette. 102:335-339
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f58ed54aa4eac4b5b085d35c48b43e38
https://doi.org/10.1017/mag.2018.75
https://doi.org/10.1017/mag.2018.75
Autor:
M. G. Mahmoudi
Publikováno v:
Elemente der Mathematik. 76:38-39
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1486c0e889bcbb954a336ca766034ccc
https://doi.org/10.4171/em/427
https://doi.org/10.4171/em/427
Autor:
M. G. Mahmoudi
Publikováno v:
Bulletin of the Australian Mathematical Society. 97:308-312
For every rotation $\unicode[STIX]{x1D70C}$ of the Euclidean space $\mathbb{R}^{n}$ ($n\geq 3$), we find an upper bound for the number $r$ such that $\unicode[STIX]{x1D70C}$ is a product of $r$ rotations by an angle $\unicode[STIX]{x1D6FC}$ ($0). We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bcfea007c6443fb4da7413f76e84f069
https://doi.org/10.1017/s0004972717000946
https://doi.org/10.1017/s0004972717000946
Autor:
A.-H. Nokhodkar, M. G. Mahmoudi
Publikováno v:
Communications in Algebra. 43:3898-3919
Among the involutions of a Clifford algebra, those induced by the involutions of the orthogonal group are the most natural ones. In this work, several basic properties of these involutions, such as the relations between their invariants, their occurr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4ab6c29af533f6d6e44df90001b4d1c
https://doi.org/10.1080/00927872.2014.934460
https://doi.org/10.1080/00927872.2014.934460
Autor:
A.-H. Nokhodkar, M. G. Mahmoudi
Publikováno v:
Journal of Pure and Applied Algebra. 218:731-734
The question of whether a split tensor product of quaternion algebras with involution over a field of characteristic two can be expressed as a tensor product of split quaternion algebras with involution, is shown to have an affirmative answer.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c7a8dbfb65915b8e3482a7ff2230dfa
https://doi.org/10.1016/j.jpaa.2013.08.011
https://doi.org/10.1016/j.jpaa.2013.08.011
Autor:
M. G. Mahmoudi
Publikováno v:
Expositiones Mathematicae. 33:375-377
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a807b02a7883ed0c04d4f3a7faaa281
https://doi.org/10.1016/j.exmath.2014.10.004
https://doi.org/10.1016/j.exmath.2014.10.004
Autor:
M. G. Mahmoudi
Publikováno v:
Algebra Colloquium. 20:251-260
The aim of this article is to provide a characterization of quadratic forms of low dimension such that the canonical involutions of their Clifford algebras are hyperbolic.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b31f154e2024718b9bd78149ab0275cd
https://doi.org/10.1142/s1005386713000229
https://doi.org/10.1142/s1005386713000229