Automorphism group of principal bundles, Levi reduction and invariant connections
Sign Up to like & getrecommendations! Published in 2019 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-019-09669-6
Abstract: Let $M$ be a compact connected complex manifold and $G$ a connected reductive complex affine algebraic group. Let $E_G$ be a holomorphic principal $G$--bundle over $M$ and $T\, \subset\, G$ a torus containing the connected… read more here.
Keywords: automorphism group; principal bundle; times longrightarrow; reduction ... See more keywords
On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3742-z
Abstract: In this paper, we consider the question of determinability of an Abelian group by its automorphism group in the class of completely decomposable torsion-free Abelian groups whose direct summands of rank 1 have idempotent types. read more here.
Keywords: abelian group; decomposable torsion; group; automorphism group ... See more keywords
Automorphism group of the moduli space of parabolic bundles over a curve
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.108070
Abstract: We find the automorphism group of the moduli space of parabolic bundles on a smooth curve (with fixed determinant and system of weights). This group is generated by: automorphisms of the marked curve, tensoring with… read more here.
Keywords: group; automorphism group; space parabolic; moduli space ... See more keywords
On classification of conformal vectors in vertex operator algebra and the vertex algebra automorphism group
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.10.021
Abstract: Abstract Herein we study conformal vectors of a Z -graded vertex algebra of (strong) CFT type. We prove that the full vertex algebra automorphism group transitively acts on the set of the conformal vectors of… read more here.
Keywords: vertex; algebra automorphism; vertex algebra; automorphism group ... See more keywords
On the automorphism group of a certain infinite type domain in C2
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.11.003
Abstract: Abstract In this study, we consider an infinite type domain Ω P in C 2 . The aim of this study is to investigate the holomorphic vector fields tangent to an infinite type model in… read more here.
Keywords: type; type domain; infinite type; automorphism group ... See more keywords
The automorphism group of a shift of slow growth is amenable
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2018.126
Abstract: Suppose $(X,\unicode[STIX]{x1D70E})$ is a subshift, $P_{X}(n)$ is the word complexity function of $X$, and $\text{Aut}(X)$ is the group of automorphisms of $X$. We show that if $P_{X}(n)=o(n^{2}/\log ^{2}n)$, then $\text{Aut}(X)$ is amenable (as a countable,… read more here.
Keywords: shift slow; slow growth; group shift; group ... See more keywords
Point sets with nontrivial automorphism group
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2019.1640243
Abstract: Abstract Let be the field of complex numbers and n and k natural numbers satisfying and Let be the subset of nth symmetric product of with itself consisting of n-point sets in general position and… read more here.
Keywords: sets nontrivial; point; point sets; automorphism group ... See more keywords
On the Automorphism Group of an Antipodal Tight Graph of Diameter 4 with Parameters (5, 7, r)
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Notes"
DOI: 10.1134/s0001434619010115
Abstract: It is proved that the automorphism group of every AT4(5, 7, r)-graph acts intransitively on the set of its arcs. Moreover, it is established that the automorphism group of any strongly regular graph with parameters… read more here.
Keywords: automorphism group; tight graph; group antipodal; group ... See more keywords
The group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Mathematics"
DOI: 10.1142/s0129167x19500575
Abstract: We determine the group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra [Formula: see text] for finite [Formula: see text] in terms of K-theory. We show that there… read more here.
Keywords: automorphism group; group cuntz; cuntz algebra; group ... See more keywords
A new approach to the automorphism group of a platonic surface
Sign Up to like & getrecommendations! Published in 2020 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj.2020.50.9
Abstract: We borrow a classical construction from the study of rational billiards in dynamical systems known as the "unfolding construction" and show that it can be used to study the automorphism group of a Platonic surface.… read more here.
Keywords: platonic surface; group; automorphism group; surface ... See more keywords
On the automorphism group of homogeneous structures
Sign Up to like & getrecommendations! Published in 2020 at "Filomat"
DOI: 10.2298/fil2001249s
Abstract: A relational structureAwith a countable universe is defined to be homogeneous iff every finite partial isomorphism of A can be extended to an automorphism of A. Endow the universe of A with the discrete topology.… read more here.
Keywords: group; automorphism group; generic automorphisms; topology ... See more keywords