Coverings and actions of structured Lie groupoids
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Universitatii Al.I.Cuza din Iasi
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work we deal with coverings and actions of Lie group-groupoids and Lie ring-groupoids being two sorts of the structured Lie groupoids. After we give definition of a structured Lie groupoid, we prove some characterizations of structured Lie groupoids. Then, we present the concept of covering of a structured Lie groupoid. As first main result of this work, we show that the category LSCov(M) of the smooth coverings of Lie group M is equivalent to the category SLGCov(?1M) of the coverings of structured Lie groupoid ?1M, where it is assumed that ?1M is a Lie group-groupoid, specially. Furthermore, we define an action of a structured Lie groupoid on a connected Lie structure. Finally, we show that the category SLGCov(G) of the coverings of a structured Lie groupoid G and the category SLGOp(G) of the actions of G on Lie structures (group or ring) are equivalent. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.
Açıklama
Anahtar Kelimeler
Action, Covering, Lie groupoid
Kaynak
Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
2
Sayı
F2
