Results 71 to 80 of about 406 (182)

Force and Shape Control Strategies for Minimum Energy Adaptive Structures

Frontiers in Built Environment, 2020
This work presents force and shape control strategies for adaptive structures subjected to quasi-static loading. The adaptive structures are designed using an integrated structure-control optimization method developed in previous work, which produces ...
Gennaro Senatore, Arka P. Reksowardojo
doaj   +1 more source

The N‐prime graph and the Subgroup Isomorphism Problem

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici, Ángel del Río, Marco Vergani   +2 more
wiley   +1 more source

A study on Nilpotent graph in genetic code algebra [PDF]

Network Biology
The genetic code is a set of codons that contains genetic information regarding the creation of protein molecules. We studied nilpotent graphs in genetic code algebra in this work.
Birinchi Kumar Boruah
doaj  

Brane webs and magnetic quivers for SQCD

Journal of High Energy Physics, 2020
It is widely considered that the classical Higgs branch of 4d N $$ \mathcal{N} $$ = 2 SQCD is a well understood object. However there is no satisfactory understanding of its structure.
Antoine Bourget, Santiago Cabrera, Julius F. Grimminger, Amihay Hanany, Zhenghao Zhong   +4 more
doaj   +1 more source

Nilpotent elements in the Green ring

Journal of Algebra, 1986
Let k be a field of characteristic p and G a finite group. Theorem 2.1 is a generalization of a theorem of Landrock for the absolutely irreducible case: Suppose that M and N are absolutely indecomposable kG-modules. Then \(M\otimes N\) has the trivial module k as a direct summand if and only if the following two conditions are satisfied: (i) \(M\cong N^
Benson, D.J, Carlson, J.F
openaire   +1 more source

Independence and strong independence complexes of finite groups

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Let G$G$ be a finite group. In [10], two different concepts of independence (namely, independence and strong independence) are introduced for the subsets of G$G$, yielding to the definition of two simplicial complexes whose vertices are the elements of G$G$. The strong independence complex Σ∼(G)$\tilde{\Sigma }(G)$ turns out to be a subcomplex
Andrea Lucchini, Mima Stanojkovski
wiley   +1 more source

Refined Dynkin Data for Nilpotent Elements

Advances in Mathematics, 1994
For a complex semisimple Lie group \(G\), whose Lie algebra \(\mathfrak g\) acts by vector fields on the flag variety \({\mathcal B} (G/B)\), the class \(\text{cl}_B(x)\) (Cartan algebra of \(\mathfrak g\)) of nilpotent elements \(x \in \mathfrak g\) with respect to the Borel subgroup \(B \in {\mathcal B}\) in \(G\) is defined and studied in detail ...
openaire   +2 more sources

On the centralizer of the sum of commuting nilpotent elements

Journal of Pure and Applied Algebra, 2006
Let X and Y be commuting nilpotent K-endomorphisms of a vector space V, where K is a field of characteristic p >= 0. If F=K(t) is the field of rational functions on the projective line, consider the K(t)-endomorphism A=X+tY of V. If p=0, or if the (p-1)-st power of A is 0, we show here that X and Y are tangent to the unipotent radical of the ...
openaire   +3 more sources

Shifted twisted Yangians and Slodowy slices in classical lie algebras

Forum of Mathematics, Sigma
In this paper we introduce the shifted twisted Yangian of type AI, following the work of Lu–Wang–Zhang, and we study their semiclassical limits, a class of Poisson algebras. We demonstrate that they coincide with the Dirac reductions of the semiclassical
Lukas Tappeiner, Lewis Topley
doaj   +1 more source

Reduced and irreducible simple algebraic extensions of commutative rings [PDF]

Mathematica Moravica, 2017
Let A be a commutative ring with identity and be an algebraic element over A. We give necessary and sufficient conditions under which the simple algebraic extension A[α] is without nilpotent or without idempotent elements.
Mihovski S.V.
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