Derivations of a Sullivan Model and the Rationalized G-Sequence

Let Gk,nℂ for 2≤k<n denote the Grassmann manifold of k-dimensional vector subspaces of ℂn. In this paper, we compute, in terms of the Sullivan models, the rational evaluation subgroups and, more generally, the G-sequence of the inclusion G2,nℂ↣G2,n+rℂ for r≥1.

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Main Author: Oteng Maphane
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2021/6687527
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author Oteng Maphane
author_facet Oteng Maphane
author_sort Oteng Maphane
collection DOAJ
description Let Gk,nℂ for 2≤k<n denote the Grassmann manifold of k-dimensional vector subspaces of ℂn. In this paper, we compute, in terms of the Sullivan models, the rational evaluation subgroups and, more generally, the G-sequence of the inclusion G2,nℂ↣G2,n+rℂ for r≥1.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 2021-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-00241e8596754daf83708bafc512ca942025-02-03T01:32:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252021-01-01202110.1155/2021/66875276687527Derivations of a Sullivan Model and the Rationalized G-SequenceOteng Maphane0Department of Mathematics and Statistical Sciences, Faculty of Science, Botswana International University of Science and Technology, Palapye, BotswanaLet Gk,nℂ for 2≤k<n denote the Grassmann manifold of k-dimensional vector subspaces of ℂn. In this paper, we compute, in terms of the Sullivan models, the rational evaluation subgroups and, more generally, the G-sequence of the inclusion G2,nℂ↣G2,n+rℂ for r≥1.http://dx.doi.org/10.1155/2021/6687527
spellingShingle Oteng Maphane
Derivations of a Sullivan Model and the Rationalized G-Sequence
International Journal of Mathematics and Mathematical Sciences
title Derivations of a Sullivan Model and the Rationalized G-Sequence
title_full Derivations of a Sullivan Model and the Rationalized G-Sequence
title_fullStr Derivations of a Sullivan Model and the Rationalized G-Sequence
title_full_unstemmed Derivations of a Sullivan Model and the Rationalized G-Sequence
title_short Derivations of a Sullivan Model and the Rationalized G-Sequence
title_sort derivations of a sullivan model and the rationalized g sequence
url http://dx.doi.org/10.1155/2021/6687527
work_keys_str_mv AT otengmaphane derivationsofasullivanmodelandtherationalizedgsequence