Some Minkowski planes with 3-dimensional automorphism group

1985 ◽  
Vol 25 (1) ◽  
pp. 88-100 ◽  
Author(s):  
G�nter F. Steinke
Keyword(s):  
Automorphism Group ◽  
Minkowski Planes ◽  
3 Dimensional

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.

4-dimensional Minkowski planes with large automorphism group

1992 ◽  
Vol 4 (4) ◽  
Author(s):  
Günter F. Steinke
Keyword(s):  
Automorphism Group ◽  
Minkowski Planes ◽  
Large Automorphism Group

scholarly journals Relatively minimal quasihomogeneous projective 3-folds

2000 ◽  
Vol 157 ◽  
pp. 149-176 ◽  
Author(s):  
Stefan Kebekus
Keyword(s):  
Automorphism Group ◽  
Projective Varieties ◽  
3 Dimensional ◽  
Complex Projective

In the present work we classify the relatively minimal 3-dimensional quasihomogeneous complex projective varieties under the assumption that the automorphism group is not solvable. By relatively minimal we understand varietiesXhaving at most ℚ-factorial terminal singularities and allowing an extremal contractionX→Ywhere dimY< 3.

Automorphism groups of 3-dimensional complex tori

1999 ◽  
Vol 1999 (508) ◽  
pp. 99-125 ◽  
Author(s):  
Ch Birkenhake ◽  
V González ◽  
H Lange
Keyword(s):  
Automorphism Group ◽  
Automorphism Groups ◽  
Three Dimensional ◽  
Maximal Order ◽  
3 Dimensional ◽  
Complex Tori

Abstract We compute all finite automorphism groups of three-dimensional complex tori which are maximal in the isogeny class. The maximal order of such an automorphism group is 1296.

scholarly journals Hyperbolic 2–dimensional manifolds with 3–dimensional automorphism group

2008 ◽  
Vol 12 (2) ◽  
pp. 643-711 ◽  
Author(s):  
Alexander V Isaev
Keyword(s):  
Automorphism Group ◽  
3 Dimensional

R2-planes with 3-dimensional automorphism group fixing precisely a line

1983 ◽  
Vol 21 (1) ◽  
pp. 66-96 ◽  
Author(s):  
Hansjoachim Groh ◽  
Martin F. Lippert ◽  
Hans -Joachim Pohl
Keyword(s):  
Automorphism Group ◽  
3 Dimensional

scholarly journals On Low-Dimensional Complex ω-Lie Superalgebras

2021 ◽  
Author(s):  
Jia Zhou ◽  
Liangyun Chen
Keyword(s):  
Automorphism Group ◽  
Representation Theory ◽  
Lie Superalgebra ◽  
Lie Superalgebras ◽  
3 Dimensional ◽  
Finite Dimensional ◽  
Low Dimensional ◽  
Derivation Superalgebra

Abstract Let (g, [−, −], ω) be a finite-dimensional complex ω-Lie superalgebra. In this paper, we introduce the notions of derivation superalgebra Der(g) and the automorphism group Aut(g) of (g, [−, −], ω). We study Derω (g) and Autω (g), which are superalgebra of Der(g) and subgroup of Aut(g), respectively. For any 3-dimensional or 4-dimensional complex ω-Lie superalgebra g, we explicitly calculate Der(g) and Aut(g), and obtain Jordan standard forms of elements in the two sets. We also study representation theory of ω-Lie superalgebras and give a conclusion that all nontrivial non-ω-Lie 3-dimensional and 4-dimensional ω-Lie superalgebras are multiplicative, as well as we show that any irreducible respresentation of the 4-dimensional ω-Lie superalgebra P2,k(k 6= 0, −1) is 1-dimensional.

scholarly journals Automorphisms of a Clifford-like parallelism

2021 ◽  
Vol 21 (1) ◽  
pp. 63-73
Author(s):  
Hans Havlicek ◽  
Stefano Pasotti ◽  
Silvia Pianta
Keyword(s):  
Automorphism Group ◽  
Skew Field ◽  
3 Dimensional ◽  
Skew Fields ◽  
Double Space

Abstract We focus on the description of the automorphism group Γ∥ of a Clifford-like parallelism ∥ on a 3-dimensional projective double space (ℙ(HF ), ∥ ℓ , ∥ r ) over a quaternion skew field H (of any characteristic). We compare Γ∥ with the automorphism group Γ ℓ of the left parallelism ∥ ℓ , which is strictly related to Aut(H). We build up and discuss several examples showing that over certain quaternion skew fields it is possible to choose ∥ in such a way that Γ∥ is either properly contained in Γ ℓ or coincides with Γ ℓ even though ∥ ≠ ∥ ℓ .

Three-Dimensional Reconstruction Using Stereo Pairs from Serial Thick Sections

1977 ◽  
Vol 35 ◽  
pp. 562-563
Author(s):  
Robert Glaeser ◽  
Thomas Bauer ◽  
David Grano
Keyword(s):  
Three Dimensional ◽  
Dimensional Structure ◽  
Serial Sections ◽  
Thin Sections ◽  
3 Dimensional ◽  
Transmission Electron ◽  
Freeze Dried ◽  
Dimensional Reconstruction ◽  
Stereo Imagery ◽  
Whole Mounts

In transmission electron microscopy, the 3-dimensional structure of an object is usually obtained in one of two ways. For objects which can be included in one specimen, as for example with elements included in freeze- dried whole mounts and examined with a high voltage microscope, stereo pairs can be obtained which exhibit the 3-D structure of the element. For objects which can not be included in one specimen, the 3-D shape is obtained by reconstruction from serial sections. However, without stereo imagery, only detail which remains constant within the thickness of the section can be used in the reconstruction; consequently, the choice is between a low resolution reconstruction using a few thick sections and a better resolution reconstruction using many thin sections, generally a tedious chore. This paper describes an approach to 3-D reconstruction which uses stereo images of serial thick sections to reconstruct an object including detail which changes within the depth of an individual thick section.

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