A cohomological proof for the integrability of strict Lie 2-algebras-Reference-Cited by-同舟云学术

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A cohomological proof for the integrability of strict Lie 2-algebras

Published:2022-09-06 Issue:14 Volume:19 Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Angulo Camilo¹^ORCID

Affiliation:

1. Departamento de Matemática Aplicada, Instituto de Matemática da Universidade Federal Fluminense, Rua Professor Marcos Waldemar de Freitas Reis, s/n, Campus do Gragoatá, Niterói, Rio de Janeiro 24210-201, Brazil

Abstract

We prove a series of van Est type theorems relating the cohomologies of strict Lie 2-groups and strict Lie 2-algebras, and use them to prove the integrability of strict Lie 2-algebras anew.

Funder

Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021988782250222X

Reference18 articles.

1. A new cohomology theory for strict Lie 2-algebras

2. Vector bundles over Lie groupoids and algebroids

3. Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes

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