Coverings of structured Lie groupoids

GÜRSOY M. H., İÇEN İ.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.47, sa.4, ss.845-854, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.15672/hjms.2017.483
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.845-854
  • İnönü Üniversitesi Adresli: Evet

Özet

In this work, we present some results related to coverings of structured Lie groupoids. Firstly, we obtain a covering Lie group-groupoid and a covering morphism of Lie group-groupoids from a given Lie group-groupoid by the notion of action. Secondly, we show how the Lie group structure of a Lie group-groupoid is lifted to a covering Lie groupoid. Then, we give similar results for Lie ring-groupoid which is also a structured Lie groupoid.