Results 61 to 70 of about 483,435 (318)
An Integrability Condition for Simple Lie Groups II [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 It is shown that a simple Lie group $G$ ($ \neq {\rm SL}_2$) can be locally characterised by an integrability condition on an $\operatorname{Aut}(\mathfrak{g})$ structure on the tangent bundle, where $\operatorname{Aut}(\mathfrak{g})$ is the automorphism group of the Lie algebra of $G$.
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Disjointness of a Simple Matrix Lie Group and Its Lie Algebra
Vietnam Journal of Mathematics, 2023 Let $G$ be a connected closed subgroup of $\mathrm{GL}_n(\mathbb{C})$ which is simple as a Lie group and which acts irreducibly on $\mathbb{C}^n$. Regarding both $G$ and its Lie algebra $\mathfrak{g}$ as subsets of $M_n(\mathbb{C})$, we have $G\cap \mathfrak{g}\neq\emptyset$ if and only if $G$ is a classical group and $\mathbb{C}^n$ is a minuscule ...
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Performance Triggered Adaptive Model Reduction for Soil Moisture Estimation in Precision Irrigation
International Journal of Adaptive Control and Signal Processing, EarlyView.ABSTRACT Accurate soil moisture information is essential for precise irrigation to enhance water use efficiency. Estimating soil moisture based on limited soil moisture sensors is especially critical for obtaining comprehensive soil moisture information when dealing with large‐scale agricultural fields.
Sarupa Debnath +4 more
wiley +1 more source
Positively curved 6-manifolds with simple symmetry groups
Anais da Academia Brasileira de Ciências, 2002 Let M be a simply connected compact 6-manifold of positive sectional curvature. If the identity component of the isometry group contains a simple Lie subgroup, we prove that M is diffeomorphic to one of the five manifolds listed in Theorem A.Seja M uma 6-
FUQUAN FANG
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Finite simple groups of Lie type as expanders [PDF]
arXiv, 2009 Finite simple groups of Lie type as ...
arxiv
Advanced Biology, EarlyView.Extracellular vesicles (EVs) play a dual role in diagnostics and therapeutics, offering innovative solutions for treating cancer, cardiovascular, neurodegenerative, and orthopedic diseases. This review highlights EVs’ potential to revolutionize personalized medicine through specific applications in disease detection and treatment.
Farbod Ebrahimi +4 more
wiley +1 more source
Hidden symmetries of deformed oscillators
Nuclear Physics B, 2017 We associate with each simple Lie algebra a system of second-order differential equations invariant under a non-compact real form of the corresponding Lie group.
Sergey Krivonos +2 more
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Periodic groups saturated with finite simple groups of lie type rank 1 [PDF]
arXiv, 2017 In the Kourovka notebook the following question is posed 14.101: Is it true that a periodic group saturated with finite simple groups of Lie type whose ranks are bounded in the aggregate, is itself a simple group of Lie type? In this paper we give a partial answer to this question for periodic groups saturated by finite simple groups of Lie type ...
arxiv
The Regulation of Trace Metal Elements in Cancer Ferroptosis
Advanced Biology, EarlyView.The induction of ferroptosis inhibits tumor growth, enhances anticancer efficacy, and overcomes drug resistance. Recent evidence shows nonferrous metal elements play a role in ferroptosis. This review focuses on how trace metals regulate ferroptosis processes like iron accumulation, lipid peroxidation, and antioxidant defense.
Xiaoyan Wang +5 more
wiley +1 more source
Representations of Complex Semi-simple Lie Groups and Lie Algebras [PDF]
, 2013 31 pages, LaTeX; to appear in a special volume of "Texts and Readings In Mathematics (TRIM)", Hindustan Book Agency.
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