On semigroups in a non-compact transformation group

1971 ◽  
Vol 5 (3) ◽  
pp. 193-200
Author(s):  
Hsin Chu
Keyword(s):  
Transformation Group ◽  
Compact Transformation Group

Compact 16-Dimensional Projective Planes with Large Collineation Groups. IV

1987 ◽  
Vol 39 (4) ◽  
pp. 908-919 ◽  
Author(s):  
Helmut Salzmann
Keyword(s):  
Transformation Group ◽  
Projective Planes ◽  
Finite Covering ◽  
Covering Dimension ◽  
Topological Projective Plane ◽  
Collineation Groups ◽  
Compact Transformation Group ◽  
Point Set ◽  
Type V ◽  
Moufang Plane

Let be a topological projective plane with compact point set P of finite (covering) dimension. In the compact-open topology (of uniform convergence), the group Σ of continuous collineations of is a locally compact transformation group of P.THEOREM. If dim Σ > 40, thenis isomorphic to the Moufang plane 6 over the real octonions (and dim Σ = 78).By [3] the translation planes with dim Σ = 40 form a one-parameter family and have Lenz type V. Presumably, there are no other planes with dim Σ = 40, cp. [17].

Singular Points of a Compact Transformation Group

1956 ◽  
Vol 63 (1) ◽  
pp. 1 ◽  
Author(s):  
D. Montgomery ◽  
H. Samelson ◽  
L. Zippin
Keyword(s):  
Transformation Group ◽  
Singular Points ◽  
Compact Transformation Group

scholarly journals Stable rank and real rank of compact transformation group C*-algebras

2006 ◽  
Vol 175 (2) ◽  
pp. 103-120 ◽  
Author(s):  
Robert J. Archbold ◽  
Eberhard Kaniuth
Keyword(s):  
Transformation Group ◽  
Stable Rank ◽  
Real Rank ◽  
C Algebras ◽  
Compact Transformation Group

scholarly journals A split action associated with a compact transformation group

1981 ◽  
Vol 83 (4) ◽  
pp. 817-817
Author(s):  
Sol Schwartzman
Keyword(s):  
Transformation Group ◽  
Compact Transformation Group

scholarly journals Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition

1992 ◽  
Vol 15 (4) ◽  
pp. 789-794 ◽  
Author(s):  
G. Ramanaiah ◽  
V. Kumaran
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Heat Flux ◽  
Porous Medium ◽  
Heat Transfer Coefficient ◽  
Free Convection ◽  
Transformation Group ◽  
Darcy Number ◽  
Thermal Boundary Condition ◽  
High Porosity

The Darcy-Brinkman free convection near a wedge and a cone in a porous medium with high porosity has been considered. The surfaces are subjected to a mixed thermal boundary condition characterized by a parameterm;m=0,1,∞correspond to the cases of prescribed temperature, prescribed heat flux and prescribed heat transfer coefficient respectively. It is shown that the solutions for differentmare dependent and a transformation group has been found, through which one can get solution for anymprovided solution for a particular value ofmis known. The effects of Darcy number on skin friction and rate of heat transfer are analyzed.

One variation of R. Miron's spray theory in OsckM

2003 ◽  
Vol 40 (4) ◽  
pp. 443-462
Author(s):  
Irena Čomić
Keyword(s):  
Vector Fields ◽  
Transformation Group ◽  
Higher Order

Lately a big attention has been payed on the higher order geometry. Some relevant papers are mentioned in the references. R. Miron and Gh. Atanasiu in [16], [17] studied the geometry of OsckM. R. Miron in [19] gave the comprehend theory of higher order geometry and its application. The whole theory of sprays in OsckM M is established. Here, using R. Miron's method, a variation of this theory is given. The transformation group is slightly different from that used in [19] and it will change the geometry. The adapted basis, the Liouville vector fields, the equation of sprays, will have different form. We give the relations between coefficients of S and the Liouville vector fields.

scholarly journals New Applications of a Kind of Infinitesimal-Operator Lie Algebra

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
Honwah Tam ◽  
Yufeng Zhang ◽  
Xiangzhi Zhang
Keyword(s):  
Differential Equation ◽  
Lie Algebras ◽  
Transformation Group ◽  
Order Differential Equation ◽  
Lie Symmetry ◽  
Discrete Equation ◽  
Infinitesimal Operator ◽  
Lie Transformation ◽  
Symmetry Operators ◽  
New Applications

Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism. A corresponding discrete equation approximating it is given as well. Finally, we make use of the Lie algebras to generate some new integrable systems including (1+1) and (2+1) dimensions.

IMBEDDING OF TRANSFORMATION GROUPS IN AFFINE ONES AND RENORMALIZATION OF TWO-DIMENSIONAL HOMOGENEOUS σ-MODELS

1993 ◽  
Vol 08 (31) ◽  
pp. 2937-2942
Author(s):  
A. V. BRATCHIKOV
Keyword(s):  
Homogeneous Space ◽  
Transformation Group ◽  
Affine Group ◽  
Coupling Constants ◽  
Transformation Groups ◽  
Two Dimensional

The BLZ method for the analysis of renormalizability of the O(N)/O(N − 1) model is extended to the σ-model built on an arbitrary homogeneous space G/H and in arbitrary coordinates. For deriving Ward-Takahashi (WT) identities an imbedding of the transformation group G in an affine group is used. The structure of the renormalized action is found. All the infinities can be absorbed in a coupling constants renormalization and in a renormalization of auxiliary constants which are related to the imbedding.

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