Показати простий запис статті
dc.contributor.author |
Bruce, A.J. |
|
dc.contributor.author |
Grabowski, J. |
|
dc.contributor.author |
Rotkiewicz, M. |
|
dc.date.accessioned |
2019-02-18T14:53:04Z |
|
dc.date.available |
2019-02-18T14:53:04Z |
|
dc.date.issued |
2016 |
|
dc.identifier.citation |
Polarisation of Graded Bundles / A.J. Bruce, J. Grabowski, M. Rotkiewicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 38 назв. — англ. |
uk_UA |
dc.identifier.issn |
1815-0659 |
|
dc.identifier.other |
2010 Mathematics Subject Classification: 55R10; 58A32; 58A50 |
|
dc.identifier.other |
DOI:10.3842/SIGMA.2016.106 |
|
dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/148538 |
|
dc.description.abstract |
We construct the full linearisation functor which takes a graded bundle of degree k (a particular kind of graded manifold) and produces a k-fold vector bundle. We fully characterise the image of the full linearisation functor and show that we obtain a subcategory of k-fold vector bundles consisting of symmetric k-fold vector bundles equipped with a family of morphisms indexed by the symmetric group Sk. Interestingly, for the degree 2 case this additional structure gives rise to the notion of a symplectical double vector bundle, which is the skew-symmetric analogue of a metric double vector bundle. We also discuss the related case of fully linearising N-manifolds, and how one can use the full linearisation functor to ''superise'' a graded bundle. |
uk_UA |
dc.description.sponsorship |
The authors thank the anonymous referees whose comments and suggestions have served to
improve the presentation of this work. Research funded by the Polish National Science Centre
grant under the contract number DEC-2012/06/A/ST1/00256. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
|
dc.title |
Polarisation of Graded Bundles |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
Файли у цій статті
Ця стаття з'являється у наступних колекціях
Показати простий запис статті