The real forms of the S3-graded algebras sl(2,C).
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| Title: | The real forms of the S |
|---|---|
| Authors: | UÇAN, Yasemen1 ubabuscu@yildiz.edu.tr, TEKERCİOĞLU, Ramazan1, YEŞİL, Ülkü BABUŞCU1 |
| Source: | Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi. Aug2025, Vol. 43 Issue 4, p1290-1295. 6p. |
| Subjects: | Lie algebras, Mathematical physics, Applied sciences, Linear algebra, Representations of algebras |
| Abstract: | Obtaining real forms of complex Lie algebras (or complex Lie groups) is important in mathematical physics and engineering applications. One of these Lie algebras is the Lie algebra sl(2, C) and its real forms. In our study, we obtain the S3-graded algebras sl(2, R) which are the real forms of the S3-graded algebras sl(2, C) for dimensional matrix representations M =1, 2, 3 and 4. [ABSTRACT FROM AUTHOR] |
| Copyright of Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi is the property of Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 188227791 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: The real forms of the S<subscript>3</subscript>-graded algebras sl(2,C). – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22UÇAN%2C+Yasemen%22">UÇAN, Yasemen</searchLink><relatesTo>1</relatesTo><i> ubabuscu@yildiz.edu.tr</i><br /><searchLink fieldCode="AR" term="%22TEKERCİOĞLU%2C+Ramazan%22">TEKERCİOĞLU, Ramazan</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22YEŞİL%2C+Ülkü+BABUŞCU%22">YEŞİL, Ülkü BABUŞCU</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Sigma%3A+Journal+of+Engineering+%26+Natural+Sciences+%2F+Mühendislik+ve+Fen+Bilimleri+Dergisi%22">Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi</searchLink>. Aug2025, Vol. 43 Issue 4, p1290-1295. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Lie+algebras%22">Lie algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+physics%22">Mathematical physics</searchLink><br /><searchLink fieldCode="DE" term="%22Applied+sciences%22">Applied sciences</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+algebra%22">Linear algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Representations+of+algebras%22">Representations of algebras</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Obtaining real forms of complex Lie algebras (or complex Lie groups) is important in mathematical physics and engineering applications. One of these Lie algebras is the Lie algebra sl(2, C) and its real forms. In our study, we obtain the S3-graded algebras sl(2, R) which are the real forms of the S3-graded algebras sl(2, C) for dimensional matrix representations M =1, 2, 3 and 4. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi is the property of Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.14744/sigma.2024.00109 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 1290 Subjects: – SubjectFull: Lie algebras Type: general – SubjectFull: Mathematical physics Type: general – SubjectFull: Applied sciences Type: general – SubjectFull: Linear algebra Type: general – SubjectFull: Representations of algebras Type: general Titles: – TitleFull: The real forms of the S3-graded algebras sl(2,C). Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: UÇAN, Yasemen – PersonEntity: Name: NameFull: TEKERCİOĞLU, Ramazan – PersonEntity: Name: NameFull: YEŞİL, Ülkü BABUŞCU IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 13047191 Numbering: – Type: volume Value: 43 – Type: issue Value: 4 Titles: – TitleFull: Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi Type: main |
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