scholarly journals A classification of finite partial linear spaces with a primitive rank 3 automorphism group of grid type

2008 ◽  
Vol 29 (1) ◽  
pp. 268-272 ◽  
Author(s):  
Alice Devillers
Keyword(s):  
Automorphism Group ◽  
Linear Spaces ◽  
Partial Linear

Classification of nilpotent linear spaces in M(4;C)

1997 ◽  
Vol 25 (6) ◽  
pp. 1919-1932 ◽  
Author(s):  
Maria Alessandra Fasoli
Keyword(s):  
Linear Spaces

scholarly journals On the classification of 3-dimensionalSL2(ℂ)-varieties

2000 ◽  
Vol 157 ◽  
pp. 129-147 ◽  
Author(s):  
Stefan Kebekus
Keyword(s):  
Automorphism Group ◽  
Semisimple Group ◽  
Picard Number ◽  
Projective Varieties ◽  
3 Dimensional

In the present work we describe 3-dimensional complexSL2-varieties where the genericSL2-orbit is a surface. We apply this result to classify the minimal 3-dimensional projective varieties with Picard-number 1 where a semisimple group acts such that the generic orbits are 2-dimensional.This is an ingredient of the classification [Keb99] of the 3-dimensional relatively minimal quasihomogeneous varieties where the automorphism group is not solvable.

A Classification of Homogeneous Surfaces

1981 ◽  
Vol 33 (5) ◽  
pp. 1097-1110 ◽  
Author(s):  
A. T. Huckleberry ◽  
E. L. Livorni
Keyword(s):  
Automorphism Group ◽  
Homogeneous Space ◽  
Lie Group ◽  
Compact Complex Manifold ◽  
Coset Space ◽  
Left Coset ◽  
Detailed Classification ◽  
Dimensional Ball ◽  
Lie Subgroup

Throughout this paper a surface is a 2-dimensional (not necessarily compact) complex manifold. A surface X is homogeneous if a complex Lie group G of holomorphic transformations acts holomorphically and transitively on it. Concisely, X is homogeneous if it can be identified with the left coset space G/H, where if is a closed complex Lie subgroup of G. We emphasize that the assumption that G is a complex Lie group is an essential part of the definition. For example, the 2-dimensional ball B2 is certainly “homogeneous” in the sense that its automorphism group acts transitively. But it is impossible to realize B2 as a homogeneous space in the above sense. The purpose of this paper is to give a detailed classification of the homogeneous surfaces. We give explicit descriptions of all possibilities.

Classification of AF Flows

2003 ◽  
Vol 46 (2) ◽  
pp. 164-177 ◽  
Author(s):  
Andrew J. Dean
Keyword(s):  
Dynamical Systems ◽  
Automorphism Group ◽  
Bratteli Diagram ◽  
Finite Dimensional

AbstractAn AF flow is a one-parameter automorphism group of an AF C*-algebra A such that there exists an increasing sequence of invariant finite dimensional sub-C*-algebras whose union is dense in A. In this paper, a classification of C*-dynamical systems of this form up to equivariant isomorphism is presented. Two pictures of the actions are given, one in terms of a modified Bratteli diagram/pathspace construction, and one in terms of a modified K0 functor.

Embedding Finite Partial Linear Spaces in Finite Translation Nets

2008 ◽  
Vol 91 (1-2) ◽  
pp. 73-83 ◽  
Author(s):  
G. Eric Moorhouse ◽  
Jason Williford
Keyword(s):  
Linear Spaces ◽  
Finite Translation ◽  
Partial Linear

scholarly journals The group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra

2019 ◽  
Vol 30 (11) ◽  
pp. 1950057 ◽  
Author(s):  
M. Izumi ◽  
T. Sogabe
Keyword(s):  
Automorphism Group ◽  
Vector Bundles ◽  
Group Structure ◽  
Cuntz Algebra ◽  
Classifying Space ◽  
Cuntz Algebras ◽  
K Theory ◽  
Continuous Fields

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 is an example of a space for which the homotopy set is a noncommutative group, and hence, the classifying space of the automorphism group of the Cuntz algebra for finite [Formula: see text] is not an H-space. We also make an improvement of Dadarlat’s classification of continuous fields of the Cuntz algebras in terms of vector bundles.

Spread construction of affine partial linear spaces

2001 ◽  
Vol 72 (1-2) ◽  
pp. 163-171
Author(s):  
Małgorzata Prażmowska
Keyword(s):  
Linear Spaces ◽  
Partial Linear
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