Top-degree solvability for hypocomplex structures and the cohomology of left-invariant involutive structures on compact Lie groups

Top-degree solvability for hypocomplex structures and the cohomology of left-invariant involutive structures on compact Lie groups

We use the theory of dual of Fréchet-Schwartz (DFS) spaces to establish a sufficient condition for top-degree solvability for the differential complex associated to a hypocomplex locally integrable structure. As an application, we show that the top-degree cohomology of left-invariant hypocomplex str...

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Bibliographic Details
Main Author: Jahnke, Max Reinhold
Other Authors: Cordaro, Paulo Domingos
Format: Others
Language:en
Published: Biblioteca Digitais de Teses e Dissertações da USP 2018
Subjects:
Cohomologia
Cohomologia invariante à esquerda
Cohomology
Estruturas involutivas
Grupos de Lie
Hipocomplexidade
Hypocomplex
Involutive structures
Left-invariant cohomology
Lie groups
Resolubilidade
Solvability
Online Access:http://www.teses.usp.br/teses/disponiveis/45/45132/tde-25032019-092801/

Internet

http://www.teses.usp.br/teses/disponiveis/45/45132/tde-25032019-092801/

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