搜索结果: 1-15 共查到“数学 automorphism”相关记录21条 . 查询时间(0.078 秒)
An embedding theorem for automorphism groups of Cartan geometries
Cartan geometries embedding theorem
2015/10/14
The main motivation of this paper arises from classical questions about
actions of Lie groups preserving a geometric structure: which Lie groups can
act on a manifold preserving a given structure, a...
AN ERGODIC ACTION OF THE OUTER AUTOMORPHISM GROUP OF A FREE GROUP
OUTER AUTOMORPHISM ERGODIC ACTION
2015/9/29
For n > 2, the action of the outer automorphism
group of the rank n free group Fn on Hom(Fn, SU(2))/SU(2) is
ergodic with respect to the Lebesgue measure class.
A DESCRIPTION OF THE OUTER AUTOMORPHISM OF S6, AND THE INVARIANTS OF SIX POINTS IN PROJECTIVE SPACE
PROJECTIVE SPACE OUTER AUTOMORPHISM
2015/7/14
The latter two descriptions do
not distinguish any of the six points. Of course, these descriptions are equivalent to the
traditional one (x1.4) there is after all only one nontrivial outer automor...
Automorphism groups of Calabi-Yau manifolds of Picard number two
Automorphism groups Calabi-Yau manifolds Picard number two Algebraic Geometry
2012/6/29
We prove that the automorphism group of an odd dimensional Calabi-Yau manifold of Picard number two is always a finite group. This makes a sharp contrast to the automorphism groups of K3 surfaces and ...
On reductive automorphism groups of regular embeddings
reductive automorphism groups regular embeddings Algebraic Geometry
2012/6/21
Let G be a connected reductive complex algebraic group acting on a smooth complete complex algebraic variety X. We assume that X under the action of G is a regular embedding, a condition satisfied in ...
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
Birational automorphism groups movable cone theorem Calabi-Yau manifolds of Wehler type
2011/9/22
Abstract: We prove that the birational automorphism group of any Calabi-Yau manifold given by a generic hypersurface of multi-degree two in $({\mathbf P^1})^{n+1}$ is isomorphic to the universal Coxet...
Inverse semigroups determined by their partial automorphism monoids
Inverse semigroups partial automorphism monoids Rings and Algebras
2011/9/20
Abstract: The partial automorphism monoid of an inverse semigroup is an inverse monoid consisting of all isomorphisms between its inverse subsemigroups. We prove that a tightly connected fundamental i...
The automorphism group of Thompson's group F: subgroups and metric properties
automorphism group Thompson's group F subgroups and metric properties
2011/9/16
Abstract: We describe some of the geometric properties of the automorphism group Aut(F) of Thompson's group F. We give realizations of Aut(F) geometrically via periodic tree pair diagrams, which lead ...
Automorphism groups of Quandles
Quandles isomorphisms automorphism groups inner automorphism groups
2011/2/25
We prove that the automorphism group of the dihedral quandle with n elements is isomorphic
to the affine group of the integers mod n, and also obtain the inner automorphism group of this
quandle. In...
On the automorphism group of tube type real symmetric domains
Jordan algebra Jordan triple system bounded symmetric domain partial Cayley transform
2011/1/18
The aim of this note is to explain a generalization to the real case of a well known result on the automorphism group of an unbounded tube type symmetric domain in a complex vector space of finite dim...
We obtain analogues of classical results on automorphism groups of holomorphic fiber bundles, in the setting of group schemes. Also, we establish a lifting property of the connected automorphism group...
Explicit computation of the index of a positive outer automorphism of the free group
Explicit computation index of positive outer automorphism
2011/2/21
We give an algorithm for finding the index of a positive outer au-tomorphism of the free group, and prove the algorithm exits in a finite time.
The automorphism group of the group of unitriangular matrices over a field
automorphism group group of unitriangular matrices
2011/2/28
This paper finds the generators of the automorphism group of the group of unitriangular matrices over a field. Most of this paper is an exposition of the work of V.M. Lev˘chuk, part of which is i...
On solvability of the automorphism group of a finite-dimensional algebra
solvability of the automorphism group finite-dimensional algebra
2011/1/17
Consider an automorphism group of a finite-dimensional algebra. S. Halperin conjectured that the unity component of this group is solvable if the algebra is a complete intersection.
It is proved that the Nagata automorphism (Nagata coordinates, respectively) of the polynomial algebra $F[x,y,z]$ over a field $F$ cannot be lifted to a $z$-automorphism ($z$-coordinate, respectively...