Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2015 / Cilt: 33 - Sayı: 3

A GENERALIZATION OF LUCKY GUESS LIE GROUP LG(3n) AND ITS LIE ALGEBRA lg(3n)

Pages
429–437
Publication Date
2015-09-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We calculate general forms of the elements of both the Generalized Lucky Guess Lie group of dimension 3n and its Lie algebra, and study some algebraic and topological properties [4].

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we generalize the Lucky Guess Lie group of dimension three [1], to the dimension 3n which is a solvable and non-nilpotent Lie group.
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Key Findings & Data:In this work, we generalize the Lucky Guess Lie group of dimension three [1], to the dimension 3n which is a solvable and non-nilpotent Lie group.
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Conclusion & Impact:We calculate general forms of the elements of both the Generalized Lucky Guess Lie group of dimension 3n and its Lie algebra, and study some algebraic and topological properties [4].
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lucky guess lie group LG(3) · lie algebra lg(3) · generalized lucky guess lie group LG(3n)

Abstract

In this work, we generalize the Lucky Guess Lie group of dimension three [1], to the dimension 3n which is a solvable and non-nilpotent Lie group. We calculate general forms of the elements of both the Generalized Lucky Guess Lie group of dimension 3n and its Lie algebra, and study some algebraic and topological properties [4].

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Cite This Article

HANSEN, A. K., KUDEYT, M. (2015). A GENERALIZATION OF LUCKY GUESS LIE GROUP LG(3n) AND ITS LIE ALGEBRA lg(3n). Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 33 - Sayı: 3, 429–437. https://ajindex.com/articles/419394

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References (2)

  1. Bowers A., “Classification of Three Dimensional Real Lie Algebras Survey”, 2005 [2] Jacobson N., Lie Algebras, 1962.
  2. Jacobson N., Lie Algebras, 1962. [3] Frank W., “Warner Foundations of Differentiable Manifolds and Lie Groups”, Springer, 1983. [4] Adams R., “The Euclidean Group SE(2)", Mathematics Seminar Rhodes University, 2010. [5] Ayala V., Kizil E., Tribuzy I. D. A., “On algoratihm for finding derivations of Lie algebras”, Proyecciones Journal of Mathematics, 2012.