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- W3043327093 abstract "The paper proposes, for the first time, a closed form of the Baker–Campbell–Hausdorff–Dynkin (BCHD) formula in the particular case of the Lie algebra of rigid body displacements. For this purpose, the structure of the Lie group of the rigid body displacements S E ( 3 ) and the properties of its Lie algebra s e ( 3 ) are used. In addition, a new solution to this problem in dual Lie algebra of dual vectors is delivered using the isomorphism between the Lie group S E ( 3 ) and the Lie group of the orthogonal dual tensors." @default.
- W3043327093 created "2020-07-23" @default.
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- W3043327093 date "2020-07-19" @default.
- W3043327093 modified "2023-09-26" @default.
- W3043327093 title "Baker–Campbell–Hausdorff–Dynkin Formula for the Lie Algebra of Rigid Body Displacements" @default.
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- W3043327093 doi "https://doi.org/10.3390/math8071185" @default.
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