Results 81 to 90 of about 483,435 (318)

Involutive representations of coordinate algebras and quantum spaces

open access: yesJournal of High Energy Physics, 2017
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]

open access: yesJ. Lie Theory 29 (2019), no. 4, 1007-1016, 2018
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

open access: yesAdvanced Engineering Materials, EarlyView.
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

open access: yesForum of Mathematics, Sigma
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]

open access: yesarXiv, 2012
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

open access: yesJournal of the European Mathematical Society, 2011
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

open access: yesAdvanced Engineering Materials, EarlyView.
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

open access: yesMathematics
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

open access: yesJournal of High Energy Physics, 2017
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]

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  

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