scholarly journals Bounded cohomology of transformation groups

2021 ◽  
Author(s):  
Michael Brandenbursky ◽  
Michał Marcinkowski
Keyword(s):  
Transformation Groups ◽  
Bounded Cohomology

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.

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