Linear representations and Frobenius morphisms of groupoids
JJ Barbarán Sánchez, L El Kaoutit - SIGMA. Symmetry, Integrability and …, 2019 - emis.de
Given a morphism of (small) groupoids with injective object map, we provide sufficient and
necessary conditions under which the induction and co-induction functors between the …
necessary conditions under which the induction and co-induction functors between the …
Categorified groupoid-sets and their Burnside ring
LE Kaoutit, L Spinosa - Turkish Journal of Mathematics, 2019 - journals.tubitak.gov.tr
We explore the category of internal categories in the usual category of (right) group-sets,
whose objects are referred to as categorified group-sets. More precisely, we develop a new …
whose objects are referred to as categorified group-sets. More precisely, we develop a new …
[PDF][PDF] On Burnside Theory for groupoids
L El Kaoutit, L Spinosa - arXiv e-prints, 2018 - ugr.es
We explore the concept of conjugation between subgroupoids, providing several
characterizations of the conjugacy relation (Theorem A in § 1.2). We show that two finite …
characterizations of the conjugacy relation (Theorem A in § 1.2). We show that two finite …
Bass-Serre theory for groupoids
G Verme, T Weigel - arXiv preprint arXiv:2107.09576, 2021 - arxiv.org
In this paper a Bass-Serre theory in the groupoid setting is developed and a structure
theorem is established. Any groupoid action without inversion of edges on a forest induces a …
theorem is established. Any groupoid action without inversion of edges on a forest induces a …
[PDF][PDF] Bass-Serre theory for groupoids
G dal Verme, T Weigel - arXiv preprint arXiv:2107.09576, 2021 - academia.edu
In this paper a Bass-Serre theory in the groupoid setting is developed and a structure
theorem (cf. Theorem 8.4) is established. Any groupoid action without inversion of edges on …
theorem (cf. Theorem 8.4) is established. Any groupoid action without inversion of edges on …
[PDF][PDF] On the theta representations of finite inverse monoids
CH Wang - arXiv preprint arXiv:2010.00455, 2020 - arxiv.org
arXiv:2010.00455v3 [math.RT] 17 Feb 2021 Page 1 arXiv:2010.00455v3 [math.RT] 17 Feb
2021 ON THE THETA REPRESENTATIONS OF FINITE INVERSE MONOIDS CHUN-HUI …
2021 ON THE THETA REPRESENTATIONS OF FINITE INVERSE MONOIDS CHUN-HUI …
[PDF][PDF] C*-algebras associated to monoids and groupoids, and Bass-Serre theory for groupoids
G DAL VERME - 2021 - iris.unipv.it
In this thesis we establish some connections between the theory of self-similar fractals in the
sense of JE Hutchinson (cf.[20]), and the theory of boundary quotients of C∗-algebras …
sense of JE Hutchinson (cf.[20]), and the theory of boundary quotients of C∗-algebras …
[PDF][PDF] SIMPLICIAL SETS WITH A GROUPOID ACTION AND BURNSIDE RING
L EL KAOUTIT, L SPINOSA - arXiv preprint arXiv:1811.11966, 2018 - academia.edu
We explore the category of internal categories in the usual category of (right) group-sets,
whose objects are referred to as simplicial group-sets. More precisely, we develop a new …
whose objects are referred to as simplicial group-sets. More precisely, we develop a new …
On Burnside Theory for groupoids
LE Kaoutit, L Spinosa - arXiv preprint arXiv:1807.04470, 2018 - arxiv.org
We explore the concept of conjugation between subgroupoids, providing several
characterizations of the conjugacy relation (Theorem A in {\S} 1.2). We show that two finite …
characterizations of the conjugacy relation (Theorem A in {\S} 1.2). We show that two finite …