POST-LIE ALGEBRA STRUCTURE ON LIE ALGEBRA SO(3,C)

• Main Author: Saputra, Reynald
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/64994
• Institution: Institut Teknologi Bandung

Lie algebra is one of the objects resulting from Lie group theory which was developed by Sophus Marius Lie (1842-1899) in the 1870s. Lie algebra is a mathematical object that is quite interesting and widely used, especially in physics. Research in Lie algebra has also been done by many mathematicians. One of them is the research on Post-Lie algebra. Post-Lie algebra is a structure developed from Lie algebra. Post-Lie algebra was first introduced by Bruno Vallete in 2007 while reviewing the homology of a poset partition with an operad. In this study, we see how the Post-Lie algebra structure of so(3,C). As a result, there are 14 structural forms of Post-Lie algebra so(3,C). Then, of the 14 forms, we see how the requirements for two Post-Lie algebra so(3,C) are mutually isomorphic. Finally, we construct a new Lie Algebra from each of the 14 Post-Lie algebra so(3,C) and then determine whether the Lie Algebra has a non-trivial grading of Lie algebra or not.