Results 21 to 30 of about 5,121 (158)
A central $U(1)$-extension of a double Lie groupoid [PDF]
, 2017 12 ...
Naoya Suzuki
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Double groupoids, matched pairs and then matched triples [PDF]
, 2011 In this note we show that the known relation between double groupoids and matched pairs of groups may be extended, or seems to extend, to the triple case. The references give some other occurrences of double groupoids.
Ronald Brown
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A homotopy double groupoid of a Hausdorff space II: a van Kampen theorem [PDF]
, 2004 This paper is the second in a series exploring the properties of a functor which assigns a homotopy double groupoid with connections to a Hausdorff space.
Brown, R., Kamps, H. K., Porter, T.
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Double Groupoids, Orbifolds, and the Symplectic Category [PDF]
, 2011 Motivated by an attempt to better understand the notion of a symplectic stack, we introduce the notion of a symplectic hopfoid, which should be thought of as the analog of a groupoid in the so-called symplectic category. After reviewing some foundational material on canonical relations and this category, we show that symplectic hopfoids provide a ...
Santiago Cañez
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$(M,N)$-double-framed soft $bi$-ideals of Abel Grassmann's groupoids [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2022 The left invertive law makes Abel Grassmann's groupoids (briefly AG-groupoids) a very interesting structure to study. In this paper, we define (M, N)-double-framed soft bi-ideals (briefly (M, N)-DFS bi-ideals) and (M, N)-double-framed soft generalized bi-ideals (briefly (M, N)-DFS generalized bi-ideals) of AG-groupoids and study some of its properties.
Kostaq Hila +3 more
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Symplectic double groupoids over Poisson $(ax+b)$-groups [PDF]
Transactions of the American Mathematical Society, 1991 First, we classify all the multiplicative Poisson structures on the (ax + b)-group and determine their dual Poisson Lie groups. Next, we show the existence of symplectic groupoid over the Poisson (ax + b)-group. Finally, by the Hamilton-Jacobi method we construct nontrivial symplectic double groupoids and conclude that for each pair of nondegenerate ...
Kentaro Mikami
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Double groupoid cohomology and extensions [PDF]
, 2016 We study extensions of double groupoids in the sense of \cite{AN2} and show some classical results of group theory extensions in the case of double groupoids. For it, given a double groupoid $(\mathcal{B}; \mathcal{V},\mathcal{H}; \mathcal{P})$ \emph{acting} on an abelian group bundle $\mathbf{K} \to \mathcal{P}$, we introduce a cohomology double ...
Jesús Alonso Ochoa Arango +1 more
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Cores of Symplectic Double Groupoids via Reduction [PDF]
, 2013 16 ...
Santiago Cañez
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Exotic groupoid $C^*$-algebras associated to double groupoids [PDF]
MATHEMATICA SCANDINAVICAWe consider a class of partial action groupoids called double groupoids which are constructed from pairs of subgroups satisfying similar conditions to those of a matched pair of groups. If the double groupoid is étale, then we show that whenever the partially acting group admit exotic ideal completions in the sense of Brown and Guentner, the ...
Mathias Palmstrøm
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`Double modules', double categories and groupoids, and a new homotopical double groupoid [PDF]
, 2009 We give a rather general construction of double categories and so, under further conditions, double groupoids, from a structure we call a `double module'. We also give a homotopical construction of a double groupoid from a triad consisting of a space, two subspaces, and a set of base points, under a condition which also implies that this double ...
Ronald Brown
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