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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
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A nilpotent Lie algebra with nilpotent automorphism group
, 1970 Recent work of Stein, Knapp, Koranyi and others has been concerned with nilpotent Lie groups which admit expanding automorphisms, that is, semisimple automorphisms whose eigenvalues are all greater than one in absolute value (cf. [ l ] , [3], [S]).
J. Dyer
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On Algebraic Lie Algebras [PDF]
Proceedings of the National Academy of Sciences, 1945 Chevalley, Claude, Tuan, Hsio-Fu
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Advances in Mathematics, 1984 In 1979, \textit{J. H. Conway} and \textit{S. P. Norton} [Bull. Lond. Math. Soc. 11, 308--339 (1979; Zbl 0424.20010)] conjectured that the existence of the Fischer-Griess ''monster'' or ''friendly giant'' finite simple group \(M\) might be explained by some infinite-dimensional Lie algebra \(L\).
Borcherds, R.E +3 more
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
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BRST operator for quantum Lie algebras and differential calculus on quantum groups [PDF]
, 2001 A. P. Isaev, O. Ogievetsky
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Algebraic geometry over Lie algebras [PDF]
, 2007 This is a survey paper on Alegbraic Geometry over Lie ...
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Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
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Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy
Abstract and Applied Analysis, 2014 With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI)
Zhengduo Shan, Hongwei Yang, Baoshu Yin
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Some properties of Camina and $n$-Baer Lie algebras [PDF]
Journal of Mahani Mathematical ResearchLet $I$ be a non-zero proper ideal of a Lie algebra $L$. Then $(L, I)$ is called a Camina pair if $I \subseteq [x,L]$, for all $x \in L\setminus I$. Also, $L$ is called a Camina Lie algebra if $(L, L^2)$ is a Camina pair. We first give some properties of
Maryam Ghezelsoflo +3 more
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