Horizontal cohomology of a local Lie group
Erc\"ument Orta\c{c}gil
TL;DR
This paper introduces the concept of horizontal cohomology for local Lie groups, defining invariant double complexes to analyze their structure and properties.
Contribution
It presents a novel framework for horizontal cohomology in local Lie groups, expanding the mathematical tools available for their study.
Findings
Defined invariant linear and nonlinear horizontal double complexes
Analyzed properties of these complexes in local Lie groups
Provided foundational results for future research in Lie group cohomology
Abstract
We define and study the invariant linear and nonlinear horizontal double complexes of a local Lie group.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Nonlinear Waves and Solitons · Advanced Topics in Algebra