GRADED CONTRACTION ON PAULI GRADING SL(3;C)
Lie algebra sl(n;C) is one of classical Lie algebra. In this research, we will see another Lie algebra that generated from grading contraction of the classical Lie algebra sl(n;C). The Lie algebra obtained is called the solution of the grading contraction. In particular, we will use Pauli grading...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/56874 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Lie algebra sl(n;C) is one of classical Lie algebra. In this research, we will see
another Lie algebra that generated from grading contraction of the classical Lie
algebra sl(n;C). The Lie algebra obtained is called the solution of the grading
contraction. In particular, we will use Pauli grading (one of the fine grading for
sl(n;C)) and review when n = 3. From the Pauli grading of sl(3;C), we will get
48 contraction equations and use the symmetry group of Pauli grading to solve it.
Furthemore, we will also review when n = 2, n = 4 and the Levi decomposition of
contraction Pauli grading sl(3;C). |
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