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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Main Author: Saputra, Reynald
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
id id-itb.:56874
spelling 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
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description 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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