Article Per Year (5 Year)
p-Index From 2019 - 2024
0.817
P-Index
This Author published in this journals
All Journal Edumatsains BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) BERNAS: Jurnal Pengabdian Kepada Masyarakat
Edi Kurniadi
Department of Mathematics of FMIPA of Universitas Padjadjaran
Religion Agriculture, Biological Sciences & Forestry Humanities Chemistry Computer Science & IT Control & Systems Engineering Dentistry Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Neuroscience Nursing Physics Public Health Social Sciences Transportation Veterinary Other

Published : 4 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 4 Documents
Search

 1 
On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra Edi Kurniadi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 2 (2020): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v4i2.2339

Abstract

In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension . To achieve this, we exhibit  how to compute the derivation of the Heisenberg Lie algebra by following Oom’s result. In this research, we use a literature review method to some related papers corresponding to a derivation of a Lie algebra, Frobenius Lie algebras, and Plancherel measure. Determining a conjecture of a real Frobenius Lie algebra is obtained. As the main result, we prove that conjecture. Namely, for the given the Heisenberg Lie algebra, there exists a commutative subalgebra of dimension one such that its semi direct sum is a real Frobenius Lie algebra of dimension . Futhermore, in the notion of the Lie group of the Heisenberg Lie algebra which is called the Heisenberg Lie group, we compute the generalized character of its group  and we determine the Plancherel measure of the unitary dual of the Heisenberg Lie group. As our contributions, we complete some examples of Frobenius Lie algebras obtained from a nilpotent Lie algebra and we also give alternative computations to find the Plancherel measure of the Heisenberg Lie group.
PENGUATAN KONSEP MATEMATIKA MELALUI ALAT PERAGA MATEMATIKA PERMAINAN DI SDN CIKUDA JATINANGOR Edi Kurniadi; Nurul Gusriani; Betty Subartini; Herlina Napitupulu
BERNAS: Jurnal Pengabdian Kepada Masyarakat Vol 1 No 4 (2020)
Publisher : Universitas Majalengka

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (979.409 KB) | DOI: 10.31949/jb.v1i4.535

Abstract

Dalam artikel ini, didiskusikan bagaimana memotivasi siswa-siswa sekolah dasar khususnya para siswa di SDN Cikuda Jatinangor dalam memahami konsep matematika melalui alat-alat pembelajaran matematika. Tujuan utamanya adalah untuk menarik minat siswa dalam memahami konsep dasar matematika dengan lebih mudah. Metode yang digunakan untuk mencapai tujuan ini adalah student learning center. Selain itu, diberikan juga penjelasan kepada salah seorang perwakilan guru dan siswa melalui praktik penggunaan alat-alat pembelajaran matematika tersebut. Lebih jauh, karena kondisi COVID-19, kegiatan ini juga direalisasikan melalui pembuatan video pembelajaran yang dapat diakses di YouTube. Fokus utama dalam kegiatan ini adalah penekanan pada penguatan konsep aritmetika. Di sisi lain, penguatan konsep siswa dilakukan melalui problem solving di aplikasi zenius.
THE NON-DEGENERACY OF THE SKEW-SYMMETRIC BILINEAR FORM OF THE FINITE DIMENSIONAL REAL FROBENIUS LIE ALGEBRA Edi Kurniadi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (429.202 KB) | DOI: 10.30598/barekengvol16iss2pp379-384

Abstract

A Frobenius Lie algebra is recognized as the Lie algebra whose stabilizer at a Frobenius functional is trivial. This condition is equivalent to the existence of a skew-symmetric bilinear form which is non-degenerate. On the other hand, the Lie algebra is Frobenius as well if its orbit on the dual vector space is open. In this paper, we study the skew-symmetric bilinear form of finite dimensional Frobenius Lie algebra corresponding to its Frobenius functional. The work aims to prove that a Lie algebra of dimension is Frobenius if and only if the -th derivation of the Frobenius functional is not equal to zero. Indeed, this condition implies that the skew-symmetric bilinear form is non-degenerate and vice versa. In addition, some properties of Frobenius functionals are obtained. Furthermore, the computations are given using the coadjoint orbits and the structure matrix. As a discussion, we can investigate these results in the algebra case whether giving rise to a left-invariant K hler structure of a Frobenius Lie group or not.
AN EXACT SYMPLECTIC STRUCTURE OF LOW DIMENSIONAL 2-STEP SOLVABLE LIE ALGEBRAS Edi Kurniadi; Kankan Parmikanti; Badrulfalah
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 8 No 2 (2024): Januari
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v8i2.5319

Abstract

In this paper, we study a Lie algebra equipped by an exact symplectic structure. This condition implies that the Lie algebra has even dimension. The research aims to identify and to contruct 2-step solvable exact symplectic Lie algebras of low dimension with explicit formulas for their one-forms and symplectic forms. For case of four-dimensional, we found that only one class among three classes is 2-step solvable exact symplectic Lie algebra. Furthermore, we also give more examples for case six and eight dimensional of Lie algebras with exact symplectic forms which is included 2-step solvable exact sympletic Lie algebras. Moreover, it is well known that a 2-step solvable Lie algebra equipped by an exact symplectic form is nothing but it is called a 2-step solvable Frobenius Lie algebra.
Co-Authors Badrulfalah Betty Subartini Herlina Napitupulu Kankan Parmikanti Nurul Gusriani