Results 91 to 100 of about 1,265,981 (327)
Character estimates of adjoint simple Lie groups [PDF]
Journal of Group Theory, 2014 Abstract Call a compact, connected, simple Lie group G adjoint simple if it has trivial center. Let C ⊂ G be a nontrivial conjugacy class, e ∈ G the identity element of G. We prove the existence of a bound N ∈ ℕ, depending on G but not C, such that e lies in the interior of Cn for all n ≥ N.
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Advanced Engineering Materials, EarlyView.This study identifies 12 wt% indium (In) as the optimal composition for Sn0.5Ag0.7Cu5Bi solder joints, achieving 87% ductile fracture and 81% suppression of intermetallic compound (IMC) growth versus 4 wt% In. High‐In alloys (15–17 wt%) show abnormal IMC thickening due to thermal activation.
Liuwei Wang +11 more
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Poisson-Lie duals of the η deformed symmetric space sigma model
Journal of High Energy Physics, 2017 Poisson-Lie dualising the η deformation of the G/H symmetric space sigma model with respect to the simple Lie group G is conjectured to give an analytic continuation of the associated λ deformed model.
Ben Hoare, Fiona K. Seibold
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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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Microscale 3D Printed Pillars and Porous Polymeric Structures: Manufacturability and Micromechanics
Advanced Engineering Materials, EarlyView.This work demonstrates how two‐photon polymerization enables the fabrication of microscale solid and porous structures from IP‐Q, IP‐S, and IP‐PDMS resins. Combining morphological and mechanical characterization, the study provides the first systematic insights into IP‐Q mechanics and reveals how processing parameters affect structure and stiffness ...
Aikaterini Isaakidou +12 more
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Nonlinear potential filtration equation and global actions of Lie symmetries
Electronic Journal of Differential Equations, 2009 The Lie point symmetries of the nonlinear potential filtration equation break into five cases. Contact symmetries provide another two cases. By restricting to a natural class of functions, we show that these symmetries exponentiate to a global action ...
Mark R. Sepanski
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An extention of Nomizu’s Theorem –A user’s guide–
Complex Manifolds, 2016 For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
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Advanced Engineering Materials, EarlyView.Commercial light‐based 3D printers increasingly find use for industry‐scale production of microstructured tissue culture devices. How can commercial printer performance be assessed for a given application? This work introduces simplified quantitative metrics based on microstructural fidelity analysis, addressing key manufacturing challenges in scaling ...
Zoltán András Guller +4 more
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On G-finitistic spaces and related notions
International Journal of Mathematics and Mathematical Sciences, 1992 Let X be a G-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. This result allows us to answer a question raised in [5] asking for an equivariant characterization of a non-finitistic G-space where
Satya Deo, Janak Singh Andotra
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ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS
Acta Polytechnica, 2016 Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and ...
Lenka Háková, Agnieszka Tereszkiewicz
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