Results 111 to 120 of about 2,410,088 (276)
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Hybrid nanofluids have emerged as next‐generation working fluids for advanced engineering application due to their superior heat transport capability in relation to the conventional nanofluids. Motivated by the rising demand for accurate prediction of transport phenomena under realistic operating situations, the present study examines the ...
B. Prabhakar Reddy +3 more
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C-Supplemented Subalgebras of Lie Algebras. [PDF]
, 2008 A subalgebra $B$ of a Lie algebra $L$ is c-{\it supplemented} in $L$ if there is a subalgebra $C$ of $L$ with $L = B + C$ and $B \cap C \leq B_L$, where $B_L$ is the core of $B$ in $L$.
Towers, David A.
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(Almost) Ricci Solitons in Lorentzian–Sasakian Hom-Lie Groups
AxiomsWe study Lorentzian contact and Lorentzian–Sasakian structures in Hom-Lie algebras. We find that the three-dimensional sl(2,R) and Heisenberg Lie algebras provide examples of such structures, respectively.
Esmaeil Peyghan +3 more
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Jordan-Chevalley decomposition in finite dimensional Lie algebras
, 2011 Let g be a finite dimensional Lie algebra over a field k of characteristic zero. An element x of g is said to have an abstract Jordan-Chevalley decomposition if there exist unique s, n ∈ g such that x = s + n, [s, n] = 0 and given any finite dimensional ...
Leandro Cagliero, F. Szechtman
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Advanced Physics Research, EarlyView.This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
wiley +1 more source
Inductive constructions for Lie bialgebras and Hopf algebras [PDF]
, 2006 PhDIn recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Bopf algebras, including the quantized enveloping algebras.
Grabowski, Jan E.
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On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]
, 2004 The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Bowman, Kevin +2 more
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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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Algebras of quotients of Lie algebras
Journal of Pure and Applied Algebra, 2004 If \(L\) is a subalgebra of a Lie algebra \(Q\); and if given \(p; q \in Q\) with \(p \not= 0\); there exists \(x \in L\) such that \([x; p] \not= 0\) and \([x; {}_L (q)] \subseteq L\) for \({}_L (q)\) the linear span in \(Q\) of \(q\) and the elements \(\text{ad}x_1 \cdots \text{ad}x_n q\) for \(x_1, \dots, x_n \in L\); then \(Q\) is called an algebra
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Journal of the Association for Information Science and Technology, EarlyView.Abstract The issue of inequality caused by algorithms, termed ‘algorithmic inequality’, has recently attracted scholarly attention in many disciplines due to its profound implications for society. While the body of literature on algorithmic inequality has grown, there remains a lack of comprehensive understanding of its nature, drivers, and impact ...
Shiwei Jia, Jia Tina Du, Hui Yan
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