Results 81 to 90 of about 483,435 (318)
Involutive representations of coordinate algebras and quantum spaces
We show that s u 2 $$ \mathfrak{s}\mathfrak{u}(2) $$ Lie algebras of coordinate operators related to quantum spaces with s u 2 $$ \mathfrak{s}\mathfrak{u}(2) $$ noncommutativity can be conveniently represented by SO(3)-covariant poly-differential ...
Tajron Jurić+2 more
doaj +1 more source
On the Third-Degree Continuous Cohomology of Simple Lie Groups [PDF]
We show that the class of connected, simple Lie groups that have non-vanishing third-degree continuous cohomology with trivial $\mathbb{R}$-coefficients consists precisely of all simple complex Lie groups and of $\widetilde{\mathrm{SL}_2(\mathbb{R})}$.
arxiv
Development of Aluminum Scandium Alloys for Hydrogen Storage Valves
Different aluminum alloy series and various aluminum‐scandium alloys with differing Sc and Zr levels are evaluated for use in hydrogen storage valve production. The alloys undergo hardness testing, optical microscopy, and tensile strength analysis, with hardening behavior studied under varying conditions.
Francisco García‐Moreno+4 more
wiley +1 more source
Fusion Systems and Rank $2$ Simple Groups of Lie Type
For any prime p and S a p-group isomorphic to a Sylow p-subgroup of a rank $2$ simple group of Lie type in characteristic p, we determine all saturated fusion systems supported on S up to isomorphism.
Martin van Beek
doaj +1 more source
Maximal abelian subgroups of compact simple Lie groups [PDF]
We classify abelian subgroups of the automorphism group of any compact simple Lie algebra whose centralizer has the same dimension as the dimension of the subgroup. This leads to a classification of the maximal abelian subgroups of compact simple groups of adjoint type and a classification of the fine group gradings of complex simple Lie algebras.
arxiv
Finite simple groups of Lie type as expanders
We prove that all finite simple groups of Lie type, with the exception of the Suzuki groups, can be made into a family of expanders in a uniform way. This confirms a conjecture of Babai, Kantor and Lubotzky from 1989, which has already been proved by Kassabov for sufficiently large rank.
openaire +4 more sources
Mechanical Properties of Different Austenitic High‐Nitrogen Steel Grades Produced by Powder Mixtures
The effect of nitrogen content on the mechanical properties of austenitic stainless steels is investigated using tailored powder metallurgical processing. Different PM routes, including additive manufacturing, enable controlled nitrogen uptake and complex geometries.
Felix Radtke+6 more
wiley +1 more source
Local Second Order Sobolev Regularity for p-Laplacian Equation in Semi-Simple Lie Group
In this paper, we establish a structural inequality of the ∞-subLaplacian ▵0,∞ in a class of the semi-simple Lie group endowed with the horizontal vector fields X1,…,X2n.
Chengwei Yu, Yue Zeng
doaj +1 more source
Poisson-Lie duals of the η deformed symmetric space sigma model
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
doaj +1 more source
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