Strongly inspired by Schreier’s analysis of group extensions and its extension to fibrations of categories by Grothendieck, we analyse the structure of monoidal categories in which every arrow is invertible. In particular, we state precise classification theorems for those monoidal groupoids whose isotropy groups are all abelian, by means of Leech’s cohomology groups of monoids.
Cohomological classification of monoidal groupoids
Maria Calvo Cervera (Granada)
Mon, 27/10/2014 - 16:30