Results 61 to 70 of about 1,530 (213)

On spectrally finite Fréchet algebras [PDF]

open access: yesSurveys in Mathematics and its Applications, 2022
We show that a spectrally finite Fréchet algebra is finite-dimensional modulo its Jacobson radical. If moreover, the algebra has no nonzero quasi-nilpotent elements, then it is semi-simple and commutative and so isomorphic to ℂn for an integer n∈ ℕ.
D. El Boukasmi, A. El Kinani
doaj  

The N‐prime graph and the Subgroup Isomorphism Problem

open access: yesJournal 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   +2 more
wiley   +1 more source

Support Varieties and Nilpotent Elements for Simple Lie Algebras

open access: yes, 2004
Support Varieties and Nilpotent Elements for Simple Lie ...
Nakano, Daniel K.
core   +1 more source

Optimal Subgroups and Applications to Nilpotent Elements [PDF]

open access: yesTransformation Groups, 2008
Let G be a reductive group acting on an affine variety X, let x in X be a point whose G-orbit is not closed, and let S be a G-stable closed subvariety of X which meets the closure of the G-orbit of x but does not contain x. In this paper, we study G.R.
openaire   +3 more sources

The Nilpotent Regular Element Problem [PDF]

open access: yesCanadian Mathematical Bulletin, 2016
AbstractWe use George Bergman’s recent normal form for universally adjoining an inner inverse to show that, for general rings, a nilpotent regular element x need not be unit-regular. This contrasts sharply with the situation for nilpotent regular elements in exchange rings (a large class of rings), and for general rings when all powers of the nilpotent
Pere Ara, Kevin C. O’Meara
openaire   +1 more source

Independence and strong independence complexes of finite groups

open access: yesJournal 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

Coulomb branch algebras via symplectic cohomology

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González   +2 more
wiley   +1 more source

On commutativity of one-sided s-unital rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
doaj   +1 more source

Nilpotent networks and 4D RG flows

open access: yesJournal of High Energy Physics, 2019
Starting from a general N = 2 $$ \mathcal{N}=2 $$ SCFT, we study the network of N = 1 $$ \mathcal{N}=1 $$ SCFTs obtained from relevant deformations by nilpotent mass parameters.
Fabio Apruzzi   +3 more
doaj   +1 more source

An extended definition of Anosov representation for relatively hyperbolic groups

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

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