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]
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–
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]
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
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
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
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
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]
We prove a discretized Product Theorem for general simple Lie groups, in the spirit of Bourgain's Discretized Sum-Product Theorem.
arxiv
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]
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