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All Journal Edumatsains JMPM: Jurnal Matematika dan Pendidikan Matematika Teorema: Teori dan Riset Matematika Jurnal Cendekia : Jurnal Pendidikan Matematika Jurnal Matematika UNAND
Edi Kurniadi
Departemen Matematika FMIPA UNPAD
Agriculture, Biological Sciences & Forestry Chemistry Computer Science & IT Education Mathematics Physics

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Journal : Jurnal Matematika UNAND

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THE LIE ALGEBRA su(3) REPRESENTATION WITH RESPECT TO ITS BASIS Edi Kurniadi; Kankan Parmikanti
Jurnal Matematika UNAND Vol 13, No 3 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.3.163-169.2024

Abstract

The eight-dimensional Lie algebra of 3×3 anti-Hermitian matrices withits traces equal to zero is denoted by su(3) whose Lie group is denoted by SU(3). Theresearch aims to provide all representations of su(3) with respect to its basis which isrealized on the three complex variables homogeneous polynomials P1 of degree three. The first step is to construct representations of SU(3) on the space H and the second step is to find all derived representations of SU(3). The obtained results are eight explicit formulas of representations su(3) ↷ P1.
Co-Authors Alit Kartiwa Betty Subartini Herlina Napitupulu Kankan Parmikanti Mohamad Nurzaman Nurul Gusriani, Nurul Riaman Riaman