Geodesic
Comparing 2-crossed modules with Gray 3-groups
Theory and applications of categories, Tome 41 (2024), pp. 1557-1595 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

Voir la notice de l'article

In this paper, we have constructed the close relationship between 2-crossed modules and Gray 3-groupoids with a single object (Gray 3-groups). Using both the equivalence between 2-crossed modules and Gray 3-groups, and the Gray category structure over the category of chain complexes of vector spaces; we describe linear representations as certain 3-functors.

Publié le :
Classification : 18B40, 18G45, 20C99, 55U15, 55U35, 20L05.
Keywords: 2-Groupoid, Gray 3-groupoids, 2-crossed modules, homotopy, linear representation 
@article{TAC_2024_41_a44,
     author = {Murat Sarikaya and Erdal Ulualan},
     title = {Comparing 2-crossed modules with {Gray} 3-groups},
     journal = {Theory and applications of categories},
     pages = {1557--1595},
     year = {2024},
     volume = {41},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2024_41_a44/}
}
TY  - JOUR
AU  - Murat Sarikaya
AU  - Erdal Ulualan
TI  - Comparing 2-crossed modules with Gray 3-groups
JO  - Theory and applications of categories
PY  - 2024
SP  - 1557
EP  - 1595
VL  - 41
UR  - http://geodesic.mathdoc.fr/item/TAC_2024_41_a44/
LA  - en
ID  - TAC_2024_41_a44
ER  - 
%0 Journal Article
%A Murat Sarikaya
%A Erdal Ulualan
%T Comparing 2-crossed modules with Gray 3-groups
%J Theory and applications of categories
%D 2024
%P 1557-1595
%V 41
%U http://geodesic.mathdoc.fr/item/TAC_2024_41_a44/
%G en
%F TAC_2024_41_a44
Murat Sarikaya; Erdal Ulualan. Comparing 2-crossed modules with Gray 3-groups. Theory and applications of categories, Tome 41 (2024), pp. 1557-1595. http://geodesic.mathdoc.fr/item/TAC_2024_41_a44/