Results 131 to 140 of about 1,026,898 (347)
A family of simple groups associated with the simple lie algebra of type (𝐹₄) [PDF]
, 1961 Rimhak Ree
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Bioinspired Design of Isotropic Lattices with Tunable and Controllable Anisotropy
Advanced Engineering Materials, EarlyView.This study introduces nested isotropic lattices, integrating architectural elements like nesting orders and orientations inspired by bioarchitectures. The design enables tunable anisotropy across nine mono‐nest and twenty multi‐nest lattices with 252 parametric variations, demonstrating transitions from shear‐ to tensile‐compression‐dominant behaviors ...
Ramalingaiah Boda +2 more
wiley +1 more source
Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms
Symmetry, Integrability and Geometry: Methods and Applications, 2008 In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important not only for investigating the structural properties of the algebras, but, on top of that, the fine gradings are often used as the starting point for ...
Milena Svobodová
doaj
On the Minimal Size of a Generating Set of Lattices in Lie Groups [PDF]
Journal of Lie Theory, 30(1), 33-40, 2019 We prove that the rank (that is, the minimal size of a generating set) of lattices in a general connected Lie group is bounded by the co-volume of the projection of the lattice to the semi-simple part of the group. This was proved by Gelander for semi-simple Lie groups and by Mostow for solvable Lie groups. Here we consider the general case, relying on
arxiv
Translation-invariant cones of functions on semi-simple lie groups [PDF]
, 1965 Harry Furstenberg
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Compactification of semi-simple Lie groups
, 2019 We discuss the `hd-compactification' of a semi-simple Lie group to a manifold with corners; it is the real analog of the wonderful compactification of deConcini and Procesi. There is a 1-1 correspondence between the boundary faces of the compactification and conjugacy classes of parabolic subgroups with the boundary face fibering over two copies of the
Albin, Pierre +3 more
openaire +2 more sources
Advanced Engineering Materials, EarlyView.The MaterialDigital initiative drives the digital transformation of material science by promoting findable, accessible, interoperable, and reusable principles and enhancing data interoperability. This article explores the role of scientific workflows, highlights challenges in their adoption, and introduces the Workflow Store as a key tool for sharing ...
Simon Bekemeier +37 more
wiley +1 more source
A family of simple groups associated with the simple Lie algebra of type (𝐺₂) [PDF]
, 1960 Rimhak Ree
openalex +1 more source
Elastic‐Wave Propagation in Chiral Metamaterials: A Couple‐Stress Theory Perspective
Advanced Engineering Materials, EarlyView.The intrinsic chirality of chiral metamaterials renders an effective medium based on the classical continuum theory ineffective for predicting their acoustic activity. This limitation is addressed in the present study by employing augmented asymptotic homogenization to derive a couple‐stress‐based effective medium, enabling accurate predictions in the ...
Shahin Eskandari +5 more
wiley +1 more source
Elementary abelian 2 subgroups of compact Lie groups [PDF]
arXiv, 2011 We classify elementary abelian 2 subgroups of compact simple Lie groups of adjoint type. This finishes the classification of elementary abelian $p$ subgroups of compact (or linear algebraic) simple groups of adjoint type.
arxiv