Results 61 to 70 of about 506 (162)
Automorphisms of the Cuntz algebras
, 2012 We survey recent results on endomorphisms and especially on automorphisms of the Cuntz algebras, with a special emphasis on the structure of the Weyl group.
Conti, Roberto +1 more
core +1 more source
Inertial endomorphisms of an abelian group [PDF]
, 2016 We describe inertial endomorphisms of an abelian group $A$, that is endomorphisms $\varphi$ with the property $|(\varphi(X)+X)/X|
RINAURO, Silvana +5 more
core +1 more source
ON AUTOMORPHISMS AND ENDOMORPHISMS OF CC GROUPS
Proceedings of the YSU A: Physical and Mathematical Sciences, 2018 We consider the automorphisms description question for the semigroups End($G$) of a group $G$ having only cyclic centralizers (CC) of nontrivial elements. In particular, we prove that each member of the automorphism group Aut($G$) of a group $G$ from this class is uniquely determined by its action on the elements from the subgroup of inner ...
openaire +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 +2 more
wiley +1 more source
Labeled trees and localized automorphisms of the Cuntz algebras
, 2010 We initiate a detailed and systematic study of automorphisms of the Cuntz algebras On which preserve both the diagonal and the core UHF subalgebra. A general criterion of invertibility of endomorphisms yielding such automorphisms is given.
CONTI, ROBERTO +4 more
core +1 more source
A Simple Algebraic Model for Few-Nucleon Systems in the Presence of Non-Abelian Superselection Rules
Учёные записки Казанского университета: Серия Физико-математические науки, 2017 Traditionally, the dynamics of a quantum physical system is described on the basis of the field models, where the fundamental role is played by the algebra of quantized fields and its automorphisms (forming a compact group).
M.I. Kirillov +2 more
doaj
Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
wiley +1 more source
Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Endomorphisms of Free Groups That Preserve Automorphic Orbits
Journal of Algebra, 2002 Using classical tools from combinatorial group theory, namely Nielsen transformations and the standard Whitehead graph, it is proved that if an endomorphism, \(\varphi\), of a free group of finite rank preserves a nontrivial automorphic orbit, then \(\varphi\) is actually an isomorphism, which confirms a conjecture of \textit{V. Shpilrain} [Arch.
openaire +1 more source
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source