Results 141 to 150 of about 1,026,898 (347)
On some double coset decompositions of complex semi-simple Lie groups [PDF]
, 1966 Kazuhiko Aomoto
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Advanced Engineering Materials, EarlyView.This study explores geometry‐driven phase evolution in gyroid shell metamaterials made via laser powder bed fusion of 17‐4 precipitation hardened stainless steel. Locally hardened regions develop along the primary loading paths in the structure, which finite element analysis and geometric considerations link to enhanced gyroid strength.
Julia T. Pürstl +8 more
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The Virasoro Algebra and Some Exceptional Lie and Finite Groups
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras.
Michael P. Tuite
doaj
Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
Advanced Engineering Materials, EarlyView.This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani +4 more
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Post-Lie algebra structures on pairs of Lie algebras [PDF]
arXiv, 2015 We study post-Lie algebra structures on pairs of Lie algebras $(\mathfrak{g},\mathfrak{n})$, motivated by nil-affine actions of Lie groups. We prove existence results for such structures depending on the interplay of the algebraic structures of $\mathfrak{g}$ and $\mathfrak{n}$.
arxiv
Simple 𝑝-adic Lie groups with abelian Lie algebras
Journal für die reine und angewandte Mathematik (Crelles Journal)Abstract For each prime 𝑝 and each positive integer 𝑑, we construct the first examples of second countable, topologically simple 𝑝-adic Lie groups of dimension 𝑑 whose Lie algebras are abelian. This answers several questions of Glöckner and Caprace–Monod.
Caprace, P. -E., Minasyan, A., Osin, D.
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Hybrid Framework Materials: Next‐Generation Engineering Materials
Advanced Engineering Materials, EarlyView.Hybrid organic–inorganic materials merge the unique properties of organic and inorganic compounds, enabling applications in optoelectronics, gas storage, and catalysis. This review explores metal‐organic frameworks, hybrid organic–inorganic perovskites, and the emerging field of hybrid glasses, emphasizing their structures, functionalities, and ...
Jay McCarron +2 more
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RG flow of integrable E-models
Physics Letters B, 2021 We compute the one- and two-loop RG flow of integrable σ-models with Poisson-Lie symmetry. They are characterised by a twist function with 2N simple poles/zeros and a double pole at infinity.
Falk Hassler
doaj
codegree of simple lie groups ii [PDF]
Osaka Journal of Mathematics, 1991 Ōshima, Hideaki, Kono, Akira
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Advanced Engineering Materials, EarlyView.A novel technique for fabricating monolithic functionally graded NiTi shape memory alloy (SMA) laminated hybrid composite has been developed. An excellent metallurgical bonding can be established between two compositionally different NiTi SMAs through spark plasma sintering joining/diffusion bonding followed by hot roll bonding.
Soumya Sinha +2 more
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