Results 111 to 120 of about 1,026,898 (347)

On the intersection of solvable Hall subgroups in finite simple exceptional groups of Lie type [PDF]

open access: yesarXiv, 2013
Assume that a finite almost simple group with simple socle isomorphic to an exceptional group of Lie type possesses a solvable Hall subgroup. Then there exist four conjugates of the subgroup such that their intersection is trivial.
arxiv  

An extention of Nomizu’s Theorem –A user’s guide–

open access: yesComplex 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
doaj   +1 more source

Taut representations of compact simple Lie groups [PDF]

open access: yesarXiv, 2004
In this paper we classify the reducible representations of compact simple Lie groups all of whose orbits are tautly embedded in Euclidean space with respect to Z_2 coefficients.
arxiv  

An Ontology‐Augmented Digital Twin for Fiber‐Reinforced Polymer Structures at the Example of Wind Turbine Rotor Blades

open access: yesAdvanced Engineering Materials, EarlyView.
A methodology for establishing an ontology‐augmented structural digital twin for fiber‐reinforced polymer structures dedicated to individual lifetime prediction, in this case, a wind turbine rotor blade, is introduced. The methodology resembles the manufacturing as well as the operation of the structure.
Marc Luger   +6 more
wiley   +1 more source

Nonlinear potential filtration equation and global actions of Lie symmetries

open access: yesElectronic 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
doaj  

On G-finitistic spaces and related notions

open access: yesInternational 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
doaj   +1 more source

ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS

open access: yesActa 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
doaj   +1 more source

A Product Theorem in simple Lie groups [PDF]

open access: yesarXiv, 2014
We prove a discretized Product Theorem for general simple Lie groups, in the spirit of Bourgain's Discretized Sum-Product Theorem.
arxiv  

Determining the Necessity of Post‐Processing Heat Treatment for the 316L Stainless Steel Manufactured by Laser Powder Bed Fusion through Evaluation of Mechanical and Corrosion Properties

open access: yesAdvanced Engineering Materials, EarlyView.
This article examines the effect of postprocessing heat treatment on 316L stainless steel (SS316L) produced via laser powder bed fusion (LPBF). Heat treatment slightly affects property anisotropy, reduces strength, and enhances elongation. However, it increases corrosion susceptibility due to nanoscale precipitations, though overall corrosion ...
Baibhav Karan   +5 more
wiley   +1 more source

A loop group method for affine harmonic maps into Lie groups [PDF]

open access: yesarXiv, 2014
We generalize the Uhlenbeck-Segal theory for harmonic maps into compact semi-simple Lie groups to general Lie groups equipped with torsion free bi-invariant connection.
arxiv  

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