POST-LIE ALGEBRA STRUCTURE ON LIE ALGEBRA SO(3,C)
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 mathematic...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/64994 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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. |
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