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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2021 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211363 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Linear ℤⁿ₂ -Manifolds and Linear Actions. Andrew James Bruce, Eduardo Ibarguëngoytia and Norbert Poncin. SIGMA 17 (2021), 060, 58 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862635133922705408 |
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| author | Bruce, Andrew James Ibarguëngoytia, Eduardo Poncin, Norbert |
| author_facet | Bruce, Andrew James Ibarguëngoytia, Eduardo Poncin, Norbert |
| citation_txt | Linear ℤⁿ₂ -Manifolds and Linear Actions. Andrew James Bruce, Eduardo Ibarguëngoytia and Norbert Poncin. SIGMA 17 (2021), 060, 58 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2026-03-14T22:43:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211363 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T22:43:45Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bruce, Andrew James Ibarguëngoytia, Eduardo Poncin, Norbert 2025-12-30T15:56:40Z 2021 Linear ℤⁿ₂ -Manifolds and Linear Actions. Andrew James Bruce, Eduardo Ibarguëngoytia and Norbert Poncin. SIGMA 17 (2021), 060, 58 pages 1815-0659 2020 Mathematics Subject Classification: 58A50; 58C50; 14A22; 14L30; 13F25; 16L30; 17A70 arXiv:2011.01012 https://nasplib.isofts.kiev.ua/handle/123456789/211363 https://doi.org/10.3842/SIGMA.2021.060 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Linear ℤⁿ₂ -Manifolds and Linear Actions Article published earlier |
| spellingShingle | Linear ℤⁿ₂ -Manifolds and Linear Actions Bruce, Andrew James Ibarguëngoytia, Eduardo Poncin, Norbert |
| title | Linear ℤⁿ₂ -Manifolds and Linear Actions |
| title_full | Linear ℤⁿ₂ -Manifolds and Linear Actions |
| title_fullStr | Linear ℤⁿ₂ -Manifolds and Linear Actions |
| title_full_unstemmed | Linear ℤⁿ₂ -Manifolds and Linear Actions |
| title_short | Linear ℤⁿ₂ -Manifolds and Linear Actions |
| title_sort | linear ℤⁿ₂ -manifolds and linear actions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211363 |
| work_keys_str_mv | AT bruceandrewjames linearzn2manifoldsandlinearactions AT ibarguengoytiaeduardo linearzn2manifoldsandlinearactions AT poncinnorbert linearzn2manifoldsandlinearactions |