Linear ℤⁿ₂ -Manifolds and Linear Actions

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2021
• Автори: Bruce, Andrew James, Ibarguëngoytia, Eduardo, Poncin, Norbert
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2021
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211363
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Linear ℤⁿ₂ -Manifolds and Linear Actions. Andrew James Bruce, Eduardo Ibarguëngoytia and Norbert Poncin. SIGMA 17 (2021), 060, 58 pages

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...