Results 51 to 60 of about 163,882 (275)

Automorphisms of manifolds [PDF]

open access: yes, 2001
This is a survey paper on spaces of automorphisms of manifolds and spaces of manifolds in a fixed homotopy type. It describes the main theorems of traditional surgery theory, but also the main theorems of pseudoisotopy theory, alias concordance theory, Waldhausen style.
Michael Weiss, Bruce Williams
openaire   +3 more sources

The automorphism group of a rigid affine variety [PDF]

open access: yes, 2016
An irreducible algebraic variety X is rigid if it admits no nontrivial action of the additive group of the ground field. We prove that the automorphism group Aut(X) of a rigid affine variety contains a unique maximal torus T .
I. Arzhantsev, S. Gaifullin
semanticscholar   +1 more source

A note on subgroups of automorphism groups of full shifts [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2015
We discuss the set of subgroups of the automorphism group of a full shift and submonoids of its endomorphism monoid. We prove closure under direct products in the monoid case and free products in the group case.
Ville Salo
semanticscholar   +1 more source

Quantum automorphisms of folded cube graphs [PDF]

open access: yes, 2019
We show that the quantum automorphism group of the Clebsch graph is $SO_5^{-1}$. This answers a question by Banica, Bichon and Collins from 2007.
Schmidt, Simon
core   +3 more sources

Distortion and the automorphism group of a shift [PDF]

open access: yes, 2016
The set of automorphisms of a one-dimensional \shift $(X, \sigma)$ forms a countable, but often very complicated, group. For zero entropy shifts, it has recently been shown that the automorphism group is more tame.
Van Cyr, J. Franks, Bryna Kra, S. Petite
semanticscholar   +1 more source

The automorphism group of a graphon [PDF]

open access: yes, 2014
We study the automorphism group of graphons (graph limits). We prove that after an appropriate "standardization" of the graphon, the automorphism group is compact. Furthermore, we characterize the orbits of the automorphism group on $k$-tuples of points.
Lovász, László, Szegedy, Balázs
core   +2 more sources

A Berezin-type map and a class of weighted composition operators

open access: yesConcrete Operators, 2017
In this paper we consider the map L defined on the Bergman space La2(𝔺+)$L_a^2({{\rm\mathbb{C}}_{\rm{ + }}})$ of the right half plane ℂ+ by (Lf)(w)=πM′(w)∫𝔺+(fM′)(s)|bw(s)|2dA˜(s)$(Lf)(w) = \pi M'(w)\int\limits_{{{\rm\mathbb{C}}_{\rm{ + }}}} {\left( {{f \
Das Namita
doaj   +1 more source

Automorphisms on complex simple Lie algebras of order 3

open access: yesKuwait Journal of Science, 2022
For complex simple Lie algebras, the article provides classification of all automorphisms of order 3. The method is an extension of Dynkin diagrams, so that the classification is a listing of diagrams which represent automorphisms of order 3.
Ching-I Hsin
doaj   +1 more source

Approximation of induced automorphisms and special automorphisms [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
A class of measure-preserving invertible point transformations which admit approximations is defined. If T is an automorphism which admits an approximation, conditions are given such that an induced automorphism and a special automorphism over T again admit an approximation.
openaire   +1 more source

Automorphisms of complex reflection groups [PDF]

open access: yes, 2009
Let $G\subset\GL(\BC^r)$ be a finite complex reflection group. We show that when $G$ is irreducible, apart from the exception $G=\Sgot_6$, as well as for a large class of non-irreducible groups, any automorphism of $G$ is the product of a central ...
Marin, Ivan, Michel, Jean
core   +4 more sources

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