Linear ${\mathbb Z}_2^n$-Manifolds and Linear Actions

Autor: Bruce, Andrew James, Ibarguengoytia, Eduardo, Poncin, Norbert
Rok vydání: 2020
Předmět:
Zdroj: SIGMA 17 (2021), 060, 58 pages
Druh dokumentu: Working Paper
DOI: 10.3842/SIGMA.2021.060
Popis: We establish the representability of the general linear ${\mathbb Z}_2^n$-group and use the restricted functor of points - whose test category is the category of ${\mathbb Z}_2^n$-manifolds over a single topological point - to define its smooth linear actions on ${\mathbb Z}_2^n$-graded vector spaces and linear ${\mathbb Z}_2^n$-manifolds. Throughout the paper, particular emphasis is placed on the full faithfulness and target category of the restricted functor of points of a number of categories that we are using.
Databáze: arXiv