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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id-itb.:568742021-07-21T18:57:39ZGRADED CONTRACTION ON PAULI GRADING SL(3;C) Saputra, Reynald Indonesia Final Project Lie algebra, grading, grading Pauli, contraction grading iii INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/56874 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). text |
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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). |
format |
Final Project |
author |
Saputra, Reynald |
spellingShingle |
Saputra, Reynald GRADED CONTRACTION ON PAULI GRADING SL(3;C) |
author_facet |
Saputra, Reynald |
author_sort |
Saputra, Reynald |
title |
GRADED CONTRACTION ON PAULI GRADING SL(3;C) |
title_short |
GRADED CONTRACTION ON PAULI GRADING SL(3;C) |
title_full |
GRADED CONTRACTION ON PAULI GRADING SL(3;C) |
title_fullStr |
GRADED CONTRACTION ON PAULI GRADING SL(3;C) |
title_full_unstemmed |
GRADED CONTRACTION ON PAULI GRADING SL(3;C) |
title_sort |
graded contraction on pauli grading sl(3;c) |
url |
https://digilib.itb.ac.id/gdl/view/56874 |
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