Abstract
This paper demonstrates the existence of the closed form of the Baker-Campbell-Hausdorff (BCH) formula for the Lie algebra of rigid body displacement. For this, the structure of the Lie group of the rigid body displacements \( S{\mathbb{E}}_{3} \) and the properties of its algebra Lie Open image in new window are used. Also, using the isomorphism between the Lie group \( S{\mathbb{E}}_{3} \) and the Lie group of the orthogonal dual tensors, a solution of this problem in dual algebra is given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
