Crossed module aspects of monodromy groupoids for internal groupoids
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Date
2019
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Publisher
Maltepe Üniversitesi
Access Rights
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Abstract
The notion of monodromy groupoid was introduced by J. Pradines in [3] to generalize the standard construction of a simply connected Lie group from a Lie algebra to a construction of a Lie groupoid from a Lie algebroid and has been developed by many others. The categorical equivalence between internal groupoids and crossed modules in groups with operations is known by [2] as a generalization of an equivalence of crossed modules within groups and group-groupoids [1]. In this work using the former equivalence and techniques of crossed modules we give a construction of the monodromy groupoid for topological internal groupoids within groups with operations including groups, rings, associative algebras, associative commutative algebras, Lie algebras, Leibniz algebras, alternative algebras and some others.
Description
Keywords
Monodromy groupoid, Internal groupoid, Crossed module
Journal or Series
International Conference of Mathematical Sciences (ICMS 2019)
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Citation
Mucuk, O., Demir, S. ve Şahan, T. (2019). Crossed module aspects of monodromy groupoids for internal groupoids. International Conference of Mathematical Sciences (ICMS 2019). s. 24.
