Crossed module aspects of monodromy groupoids for internal groupoids
Yükleniyor...
Dosyalar
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
CC0 1.0 Universal
CC0 1.0 Universal
Özet
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.
Açıklama
Anahtar Kelimeler
Monodromy groupoid, Internal groupoid, Crossed module
Künye
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.
