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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Epsilon: Jurnal Matematika Murni dan Terapan CAUCHY: Jurnal Matematika Murni dan Aplikasi Resital: Jurnal Seni Pertunjukan (Journal of Performing Arts) Journal of Degraded and Mining Lands Management Journal of Natural Sciences and Mathematics Research Al-Jabar : Jurnal Pendidikan Matematika Asia-Pacific Management and Business Application JURNAL ILMIAH MATEMATIKA DAN TERAPAN JMPM: Jurnal Matematika dan Pendidikan Matematika Adi Widya : Jurnal Pengabdian Masyarakat BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Teknik Pertanian Lampung (Journal of Agricultural Engineering) Jurnal Labora Medika JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya Jambura Journal of Mathematics M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Matematika UNAND Mandalika Mathematics and Educations Journal Jurnal Borneo Akcaya : Jurnal Penelitian dan Pengembangan Pelayanan Publik Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Leibniz: Jurnal Matematika Journal of Mathematics: Theory and Applications Empowerment Society Muria Jurnal Layanan Masyarakat Journal of Fundamental Mathematics and Applications (JFMA) Asia Pacific Journal of Management and Education Jurnal Matematika Integratif Mathematical Sciences and Applications Journal Indonesian Journal of Applied Mathematics and Statistics
Edi Kurniadi
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Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Health Professions Immunology & microbiology Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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Journal : Jurnal Matematika UNAND

 1 
DEKOMPOSISI LEVI ALJABAR LIE AFFINE FROBENIUS aff(2, R) EDI KURNIADI
Jurnal Matematika UNAND Vol 10, No 3 (2021)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.10.3.229-235.2021

Abstract

Dalam artikel ini dipelajari aljabar Lie affine Frobenius aff(2, R) berdimensi 6. Aljabar Lie aff(2, R) dapat didekomposisi menggunakan dekomposisi Levi menjadi aljabar Lie linear khusus semisederhana sl(2, R) berdimensi 3, subaljabar Lie komutatif R ⊂ R2 berdimensi 2, dan split torus T berdimensi 1 sedemikian sehingga aff(2, R) = sl(2, R) ⊕ R ⊕ T. Karena aljabar Lie sl(2, R) semisederhana maka bracket Lie-nya dapat dinyatakan sebagai [sl(2, R), sl(2, R)] = sl(2, R). Selanjutnya, misalkan g = R⊕T sehingga aff(2, R) = sl(2, R) ⊕ g. Diperoleh bahwa [sl(2, R), g] ⊆ g dan [g, g] ⊆ g. Dalam hal ini, g adalah solvable radical dari aff(2, R).Kata Kunci: Aljabar Lie affine, Aljabar Lie Semisederhana, Dekomposisi Levi
THE LIE ALGEBRA su(3) REPRESENTATION WITH RESPECT TO ITS BASIS Kurniadi, Edi; Parmikanti, Kankan
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 Agus Suyanto Alamsyah, Alifa Raida Alit Kartiwa, Alit Aminuyati Anita Triska Ari Hepi Yanti Asri Laksmi Riani Asri Laksmi Riani Atmaji, Susan Dwi Cahyaningrum Aurillya Queency Badrulfalah Badrulfalah Betty Subartini Cholil, Mohammad Dellavani, Charitra Yulia Dien Wardihastri Destina Paningrum, Destina Diah Wulandari Rousdy Dwi Soegiarto, Dwi Ema Carnia Estetika Mutiaranisa Kurniawati Faza, Novan Ramadhani Nur Firdaniza Firdaniza Hafizhah, Nur Hasan, Nabila Nurmala Hayyah, Zahira Najmatul Henti, Henti Hermawan, Aldi Hisjam, Muhammad Holyness Nurdin Singadimedja Ida Ayu Suci Indrawati, Urai Suci Yulies Vitri Irawati Irawati Isah Aisah Kankan Parmikanti Khairudin Khairudin Kurniawati, Estetika Mutiaranisa Kusuma, Dianne Amor Maharani, Saskia Putri Masulili, Agusalim Mohammad Cholil Muhammad Arief Budiman Mulyanto Mulyanto Nurul Gusriani, Nurul Oktaviansyah, Eka Pratiwi, Putri Nisa Putra, Ricardo Eka Queency, Aurillya Rahmawati, Rahmawati Rikah, Rikah Rikhsan Kurniatuhadi, Rikhsan Rini Suryani, Rini Rosalina, Shinta Rudianto Rudianto Rudianto, M Rusnandari Retno Cahyani Sarah Rum Handayani Sarwono Sarwono Setiawan, Ade Ripki Sisilia Sylviani Siti Arifah Siti Nurlaela siti nurlela Slamet Supriyadi Slamet Supriyadi Sri Murni SRI RAHAYU Stanley P. Dewanto, Stanley P. Suci, Ida Ayu Sukono Sukono Sumartono, Basuki Susan Dwi Cahyaningrum, Atmaji, Sutikarini Tielung, M. Fariel Fahriza Wahida , Adam