scholarly journals Regular transformation groups based on Fourier-Gauss transforms

2015 ◽  
Vol 9 (2) ◽  
Author(s):  
Maximilian Bock ◽  
Wolfgang Bock
Keyword(s):  
Transformation Groups ◽  
Regular Transformation

On the conjugacy and isomorphism problems for stabilizers of Lie group actions

1999 ◽  
Vol 19 (2) ◽  
pp. 391-411 ◽  
Author(s):  
VALENTIN YA. GOLODETS ◽  
SERGEY D. SINEL'SHCHIKOV
Keyword(s):  
Lie Groups ◽  
Lie Group ◽  
Group Actions ◽  
Transformation Groups ◽  
Type I ◽  
Lie Group Actions ◽  
The Stability ◽  
Regular Transformation

The spaces of subgroups and Lie subalgebras with the group actions by conjugations are considered for real Lie groups. Our approach allows one to apply the properties of algebraically regular transformation groups to finding the conditions when those actions turn out to be type I. It follows, in particular, that in this case the stability groups for all the ergodic actions of such groups are conjugate (for example when the stability groups are compact). The isomorphism of the stability groups for ergodic actions is also established under some assumptions. A number of examples of non-conjugate and non-isomorphic stability groups are presented.

scholarly journals F-Expansive transformation groups

1979 ◽  
Vol 10 (1) ◽  
pp. 67-85 ◽  
Author(s):  
H.B. Keynes ◽  
M. Sears
Keyword(s):  
Transformation Groups

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.

Algebraic Transformation Groups and the Similarity Problem

1978 ◽  
Vol 85 (3) ◽  
pp. 173-182
Author(s):  
Michael A. Gauger ◽  
Christopher I. Byrnes
Keyword(s):  
Transformation Groups ◽  
Algebraic Transformation ◽  
Similarity Problem
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