Linear ℤⁿ₂ -Manifolds and Linear Actions
We establish the representability of the general linear ℤⁿ₂-group and use the restricted functor of points – whose test category is the category of ℤⁿ₂-manifolds over a single topological point – to define its smooth linear actions on ℤⁿ₂-graded vector spaces and linear ℤⁿ₂-manifolds. Throughout the...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2021 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211363 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Linear ℤⁿ₂ -Manifolds and Linear Actions. Andrew James Bruce, Eduardo Ibarguëngoytia and Norbert Poncin. SIGMA 17 (2021), 060, 58 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We establish the representability of the general linear ℤⁿ₂-group and use the restricted functor of points – whose test category is the category of ℤⁿ₂-manifolds over a single topological point – to define its smooth linear actions on ℤⁿ₂-graded vector spaces and linear ℤⁿ₂-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.
|
|---|---|
| ISSN: | 1815-0659 |