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Symplectic Form yang Berkaitan Dengan Satu-form Suatu Aljabar Lie Berdimensi Rendah Kurniadi, Edi
Journal of Mathematics: Theory and Applications Vol 6 No 1 (2024): Volume 6, Nomor 1, 2024
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v6i1.3096

Abstract

In this paper, we study symplectic form on low dimensional real Lie algebra. A symplectic form is very important in classifying of Lie algebra types. Based on their dimension and certain conditions, there are two types of Lie algebras. A lie algebra with odd dimension endowed with one-form such that is called a contact Lie algebra, while a Lie algebra whose dimension is even and it is endowed with zero index is called a Frobenius Lie algebra. The research aimed to give explicit formula of a symplectic form of low dimensional contact Lie algebras and Frobenius Lie algebras. We established that a one-form associated to simplectic form determine a type of a Lie algebra whether a contact or a Frobenius Lie algebras.To clearer the main results, we give some examples of one-form and symplectic form of Frobenius and contact Lie algebras.
Creativepreneurship UMKM Batik Lasem Rembang, Peningkatan Kapasitas Usaha melalui Kualitas Produksi dan Pemasaran Digital Rahmawati, Rahmawati; Kurniadi, Edi; Rikah, Rikah; Nurlaela, Siti; Rudianto, Rudianto; Handayani, Sarah Rum; Arifah, Siti
Muria Jurnal Layanan Masyarakat Vol 6, No 1 (2024): Maret 2024
Publisher : Universitas Muria Kudus

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24176/mjlm.v6i1.10897

Abstract

Tujuan kegiatan pengabdian kepada masyarakat ini adalah memberikan alternatif solusi atas permasalahan yang terdapat di UMKM Batik Lasem Rembang berupa pelatihan dalam rangka peningkatan kualitas produksi serta pelatihan pemasaran digital sebagai upaya memberi pengetahuan dan keterampilan creativepreneurship. UMKM ini membutuhkan peningkatan pemahaman dan keterampilan karyawan dalam pemanfaatan teknologi informasi untuk mengembangkan usaha serta menciptakan saluran penjualan secara digital. Program ini terdiri dari tiga tahap yakni: tahap persiapan, tahap edukasi dan pelatihan karyawan mengenai creativepreneurship, dan tahap keberlanjutan program. Target yang dicapai meliputi: terlaksananya pelatihan kepada karyawan Batik Hastadana mengenai pemasaran digital dan creativepreneurship; terlaksananya praktek perancangan desain motif batik berdasarkan trend yang diminati pasar digital; dan regenerasi tenaga kerja muda untuk meningkatkan kualitas produk yang memiliki daya saing untuk meningkatkan penjualan. Luaran yang dicapai yakni: peningkatan level keberdayaan mitra, peningkatan kualitas produksi dengan penciptaan inovasi 5 desain motif batik, dan regenerasi usia muda yang terlibat dalam pengelolaan, produksi, dan pemasaran batik.
On Properties of Five-dimensional Nonstandard Filiform Lie algebra Putra, Ricardo Eka; Kurniadi, Edi; Carnia, Ema
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 8, No 2 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v8i2.21018

Abstract

In this paper, we study the five-dimensional nonstandard Filiform Lie algebra and their basis elements representations. The aim of this research is to determine the basis elements of five-dimensional nonstandard Filiform Lie algebras representation in the form of  real matrices. The method used in this study is by following Ceballos, Núñez, and Tenorio’s work. The results of this study are five real matrices  as the realization of the basis elements of the five-dimensional nonstandard Filiform Lie algebra. We also discuss some results relate to five-dimensional nonstandard Filiform Lie algebra’s properties. The five-dimensional nonstandard Filiform Lie algebra is always nilpotent. For further research, it can be extended to five classes of Filiform Lie algebra, both standard and nonstandard with six dimensions. Moreover, it can be computed their split torus such that their direct sums are Frobenius Lie algebras.
REPRESENTASI su(2) DAN KOMPLEKSIFIKASI su(2)_C=sl(2,C) PADA RUANG VEKTOR POLINOM HOMOGEN Kurniadi, Edi; Badrulfalah, Badrulfalah; Gusriani, Nurul
Jurnal Silogisme : Kajian Ilmu Matematika dan Pembelajarannya Vol 9 No 2 (2024): Desember
Publisher : Universitas Muhammadiyah Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24269/silogisme.v9i2.9259

Abstract

Aljabar Lie su(N) mempunyai kompleksifikasi sl(N,C). Dengan kata lain, suNC≅sl(N,C). Dalam artikel ini, dipelajari representasi aljabar Lie su(N) dan sl(N,C) khususnya untuk N=2 yang direalisasikan pada ruang vektor polinom homogen kompleks dua variabel berderajat dua. Tujuannya adalah untuk mengkonstruksi representasi sl(2,C) dari representasi su(2) dan  membuktikan bahwa representasi yang diperoleh bersifat unitar dan tak tereduksi. Selanjutnya, karena grup Lie dari  su(2) bersifat simply connected maka representasi su(2) dapat dikonstruksi dari grup Lie-nya. Di sisi lain, karena su2C≅sl(2,C) maka representasi dari sl(2,C) dapat dikonstruksi melalui perluasan linear-kompleks dari representasi su(2) dan hasilnya dapat dinyatakan dalam bentuk operator linear.
Classification of types A and A_+ from low dimensional standard and non-standard filiform Lie Algebras Kurniadi, Edi; Parmikanti, Kankan; Badrulfalah, Badrulfalah
Journal of Natural Sciences and Mathematics Research Vol. 9 No. 2 (2023): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

In this paper, we study low-dimensional Filiform Lie algebras. Specifically, three-dimensional standard Filiform Lie algebras and five-dimensional non-standard Filiform Lie algebras. The classification method was given in the following stage. For given a low-dimensional Filiform Lie algebra, we compute its second centre. We showed that three-dimensional Filiform Lie algebra-called Heisenberg Lie algebra-is type ???? and ????+ as well. On the other hand, for ????≥3, the standard Filiform Lie algebras are type ???? but not type ????+. In this case, we give a concrete example of case five-dimensional Heisenberg Lie algebra. Moreover, we proved that five-dimensional non-standard Filiform Lie algebra is type ???? but not type ????+. It is still an open problem to classify types ???? and ????+ for the general case of non-standard Filiform Lie algebra of dimension ≥6.
On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra Kurniadi, Edi
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.
Increasing Production Capacity and Financial Strengthening of Hand-Printed Batik Motif Textile Business at Kenayyu SME in Sragen Regency Murni, Sri; Kurniadi, Edi; Hisjam, Muhammad; Rahmawati, Rahmawati; Rudianto, M
IMPOWERMENT SOCIETY Vol 8 No 2 (2025): Agustus 2025
Publisher : Institut Teknologi dan Bisnis Widya Gama Lumajang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30741/eps.v8i2.1705

Abstract

This community service program aims to address the problems faced by Kenayyu Small and Medium Enterprises (SMEs) in Sragen Regency, particularly in the areas of financial management, accounting practices, design innovation, production capacity, and marketing. The urgency of this activity arises from the limited availability of production equipment, unstructured financial recording systems, and lack of marketing strategies, which hinder the competitiveness and sustainability of hand-printed batik businesses. To overcome these issues, the program was implemented through five main stages: (a) socialization, (b) training, (c) technology application, (d) mentoring and evaluation, and (e) program sustainability. The socialization stage built awareness and commitment among partners, while the training improved skills in financial recording, accounting applications, and batik motif design. The application of technology was carried out through the use of dynamo-powered equipment to enhance production efficiency. Mentoring and evaluation ensured continuous improvement and problem-solving, and the sustainability stage encouraged partners to maintain progress after the program ended. These activities have produced significant outcomes, including increased financial literacy, better product design innovation, improved production efficiency, and expanded digital marketing through marketplaces, leading to higher competitiveness and turnover for partner SMEs.
The Role of Human Resource in Laweyan Batik Industry, Surakarta Kurniadi, Edi; Sarwono, Sarwono; Riani, Asri Laksmi
APMBA (Asia Pacific Management and Business Application) Vol. 7 No. 1 (2018)
Publisher : Department of Management, Faculty of Economics and Business, Brawijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.apmba.2018.007.01.4

Abstract

Indonesia is a country with a socio-economic structure of society that is represented by the existence of the villages. At present, there are many villages in Indonesia that have developed due to the economic efforts made by the village communities. One of these villages is Laweyan village, in Central Java Province. Laweyan village is a well-known batik production in the development of Surakarta municipality. Up to this day, Kampung Batik Laweyan (Laweyan Batik Village) has become a brand image of batik in Surakarta and surrounding areas, even Laweyan's batik products have penetrated the international world. Here, batik business owner and their employees work together to conserve batik products as a result of the declaration of Kampung Laweyan as batik tourism village. The aim of this study is to develop quality and creativity in batik products, as well as product marketing. To achieve it the improvement of human resource quality (business owner and employee) is needed. Training on various managerial skills and other skills will enable them to compete in the business world as well as to provide better services to customers. Using descriptive analysis, the data is collected using several methods: field observation, interview, FGD, and content analysis (document review). The data is analyzed using several techniques, interactive analysis techniques and internal-external analysis techniques. The results of this study show that the craftsman/business owner in Laweyan batik industrial center always try to maintain the survival of their companies, with the knowledge provided to them and managerial and attitude training, they are better prepared to adapt to the recent development and the environment in the sense that they have developed the integration and synergy of human resources based to the structure and function in batik production and marketing aspect.
Application of organic matter-enriched biochar for improving degraded acid sulfate soil properties in rice (Oryza sativa L.) cultivation Masulili, Agusalim; Rahayu, Sri; Suci, Ida Ayu; Kurniadi, Edi
Journal of Degraded and Mining Lands Management Vol. 13 No. 1 (2026)
Publisher : Brawijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15243/jdmlm.2026.131.9177

Abstract

Acid sulfate soils pose significant challenges for rice cultivation due to  their extreme acidity (pH<4.0) and associated nutrient deficiencies. This study investigated the effectiveness of biochar enriched with various organic amendments in improving soil properties and rice growth in degraded acid sulfate soils. A randomized block design was employed with seven treatments: control (B0), biochar enriched with Chromolaena odorata (B1), rice straw (B2), chicken manure (B3), cattle manure (B4), Tithonia sp. compost (B5), and NPK fertilizer at half the recommended dose (B6), each applied at 10 t/ha. The experiment was conducted under greenhouse conditions using 10 kg of soil per polybag with four replications. Soil samples from Sungai Kakap, West Kalimantan,  exhibited severe constraints, including pH levels of 3.75-3.87, organic carbon content of 0.82-0.98%, and high Al and Fe contents (>3%). Results demonstrated that organic matter-enriched biochar treatments significantly improved soil chemical properties (p<0.01). Rice straw-enriched biochar (B2) achieved the highest available P (117.93 ppm) and K (1.09 cmol(+)/kg), while cattle manure-enriched biochar (B4) showed maximum organic C increase (1.30%). Plant growth parameters showed significant improvement, with B2 producing the tallest plants (137.43 cm) and B5 (Tithonia sp.) yielding the highest productive tillers (38.83). The findings indicate that biochar enriched with local organic materials, particularly rice straw and Tithonia sp., offers a sustainable solution for rehabilitating degraded acid sulfate soils while enhancing rice productivity.
Struktur Aljabar untuk Barisan Kodon dari Asam Deoksiribonukleat (DNA) Hasan, Nabila Nurmala; Kurniadi, Edi; Gusriani, Nurul
Jurnal Matematika Integratif Vol 21, No 2: Oktober 2025
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v21.n2.67778.213-228

Abstract

This article discusses the algebraic structure of codon sequences as a representation of DNA nitrogen base sets in mathematical terms. The study aims to prove what algebraic structures are obtained for codon sequences from DNA bases. The methods used include qualitative research methods in the form of literature studies and quantitative research methods in the form of experiments on DNA base sets. In mathematical notation, the nitrogen bases of DNA can be collected in a set and connected into algebraic structures through a bijective mapping on the Galois field of order 4. This results in the set B being viewed as a Galois field of order 4. Additionally, DNA base triplets or codons can be represented in mathematical form. Furthermore, these codons are bijectively mapped onto the Galois field of order 64, so that the resulting algebraic structure is a field. The result of this study show that the codon sequences have an algebraic structure in the form of a one-dimensional vector space over the Galois field on the codon. For further research, the Lie structure in codon can be investigated through the construction of its Lie brackets, where this vector space is a necessary condition for Lie algebras.