 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11262 |
| In Russian (Čçâ. ĐŔÍ. ĚŇŇ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| V.F. Chub, "Six-Dimensional Representation of the Extended Galilean–Newtonian Group," Mech. Solids. 57 (7), 1663-1665 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
7 |
Pages |
1663-1665 |
| DOI |
10.3103/S002565442207007X |
| Title |
Six-Dimensional Representation of the Extended Galilean–Newtonian Group |
| Author(s) |
V.F. Chub (Korolev Rocket and Space Corporation Energia, Korolev, Russia, post2@rsce.ru) |
| Abstract |
This paper presents a special (six-dimensional) representation of Lie algebra of the nonrel - ativistic analog of the conformal group, 15-parameter extended Galilean–Newtonian group. In contrast to the conventional (four-dimensional) representation, the found set of infinitesimal operators
can be obviously extended to the representation of the Lie algebra of the nonrelativistic analogue of the
16-parameters extended conformal group. In conclusion, the principal point of Klein’s Erlangen concept (“Given a manifold and a transformation group acting on it”) and the author’s thesis “space-time
is a metaphysical ghost that should be excluded from the scientific description of nature” are compared. |
| Keywords |
Galilean group, group extension, Galilean–Newtonian group, special theory of relativity, Poincaré group, conformal group, infinitesimal operator of transformation, Lie algebra, Klein’s Erlangen program |
| Received |
16 March 2022 | Revised |
24 March 2022 | Accepted |
25 March 2022 |
| Link to Fulltext |
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| << Previous article | Volume 57, Issue 7 / 2022 | Next article >> |
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