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On the Non‐Abelian Motor Calculus
Author(s) -
Stumpf H.,
Badur J.
Publication year - 1990
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19900701207
Subject(s) - abelian group , extension (predicate logic) , nonlinear system , mathematics , algebra over a field , product (mathematics) , pure mathematics , lie algebra , calculus (dental) , computer science , physics , geometry , quantum mechanics , medicine , dentistry , programming language
A nonlinear (non‐abelian) extension of the motor analysis is considered. The semi‐direct product T(3) δ SO(3) is introduced and the associated Lie algebra is given. Nonlinear generalisation of the grad‐, rot ‐ and div ‐operators are presented. An energetic product for variables conjugate with respect to the energy is defined.