Results 121 to 130 of about 4,480 (224)

Groupoids in diffeology

Electronic Research Archive
This expository paper recounts the development and application of the concept of the diffeological groupoid, from its introduction in 1985 to its use in current research. We demonstrate how this single concept has served as a powerful and unifying tool for defining fundamental structures, analyzing the stratification of complex spaces like orbifolds ...
openaire   +2 more sources

Bicategories of Action Groupoids

Applied Categorical Structures
We prove that the 2-category of action Lie groupoids localised in the following three different ways yield equivalent bicategories: localising at equivariant weak equivalences à la Pronk, localising using surjective submersive equivariant weak equivalences and anafunctors à la Roberts, and localising at all weak equivalences.
Carla Farsi, Laura Scull, Jordan Watts
openaire   +4 more sources

C*-algebras on r-discrete Abelian Groupoids [PDF]

Journal of Sciences, Islamic Republic of Iran, 2017
We study certain function algebras and their operator algebra completions on r-discrete abelian groupoids, the corresponding conditional expectations, maximal abelian subalgebras (masa) and eigen-functionals.
H. Myrnouri
doaj  

The Adjoint Representation of a Higher Lie Groupoid [PDF]

We extend the standard construction of the adjoint representation of a Lie groupoid to the case of an arbitrary higher Lie groupoid. As for a Lie groupoid, the adjoint representation of a higher Lie groupoid turns out to be a representation up to ...
Trentinaglia, Giorgio
core  

Double Groupoids and 2-Groupoids in Regular Mal’tsev Categories

Applied Categorical Structures
We prove that the category 2-$ \mathrm{Grpd}(\mathscr{C}) $ of internal $2$-groupoids is a Birkhoff subcategory of the category $ \mathrm{Grpd}^2(\mathscr{C}) $ of double groupoids in a regular Mal'tsev category $\mathscr{C}$ with finite colimits. In particular, when $\mathscr{C}$ is a Mal'tsev variety of universal algebras, the category 2-$ \mathrm ...
Nadja Egner, Marino Gran
openaire   +2 more sources

Causality in Schwinger's Picture of Quantum Mechanics. [PDF]

Entropy (Basel), 2022
Ciaglia FM, Di Cosmo F, Ibort A, Marmo G, Schiavone L, Zampini A.   +5 more
europepmc   +1 more source

On biological homochirality [PDF]

, 2009
Generalizing Landau's spontaneous symmetry breaking arguments using the standard groupoid approach to stereochemistry allows reconsideration of the origin of biological homochirality.
Rodrick Wallace Ph. D, Rodrick Wallace
core  

Smarandache Substructures in Groupoid Rings - abstract

, 2004
In this paper we introduce some Smarandache substructures in groupoid rings. Study of groupoid rings itself is totally absent in literature so the study of Smarandache substructures in groupoid rings seems to be new and innovative.
W.B.Vasantha Kandasamy, J.Jon Arokiaraj
core   +1 more source

Sheffer operation in relational systems. [PDF]

Soft comput, 2022
Chajda I, Länger H.
europepmc   +1 more source

Differentiable groupoid objects and their abstract Lie algebroids [PDF]

The infinitesimal counterpart of a Lie groupoid is its Lie algebroid. As a vector bundle, it is given by the source vertical tangent bundle restricted to the identity bisection.
Aintablian, L. ; https://orcid.org/, Blohmann, C.   +1 more
core   +1 more source