Adjacency preserving maps between exterior powers of vector spaces

In this paper, a structural characterization of adjacency preserving surjective maps between exterior powers of arbitrary vector spaces is established, which generalizes the fundamental theorem of the geometry of alternate matrices. (c) 2024 Elsevier Inc. All rights reserved.

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Main Authors: Lau, Jinting, Lim, Ming Huat
Format: Article
Published: Elsevier 2024
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Online Access:http://eprints.um.edu.my/45743/
https://doi.org/10.1016/j.laa.2024.01.009
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Institution: Universiti Malaya
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spelling my.um.eprints.457432024-11-11T06:09:27Z http://eprints.um.edu.my/45743/ Adjacency preserving maps between exterior powers of vector spaces Lau, Jinting Lim, Ming Huat QA Mathematics In this paper, a structural characterization of adjacency preserving surjective maps between exterior powers of arbitrary vector spaces is established, which generalizes the fundamental theorem of the geometry of alternate matrices. (c) 2024 Elsevier Inc. All rights reserved. Elsevier 2024-04 Article PeerReviewed Lau, Jinting and Lim, Ming Huat (2024) Adjacency preserving maps between exterior powers of vector spaces. Linear Algebra and its Applications, 686. pp. 83-101. ISSN 0024-3795, DOI https://doi.org/10.1016/j.laa.2024.01.009 <https://doi.org/10.1016/j.laa.2024.01.009>. https://doi.org/10.1016/j.laa.2024.01.009 10.1016/j.laa.2024.01.009
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Lau, Jinting
Lim, Ming Huat
Adjacency preserving maps between exterior powers of vector spaces
description In this paper, a structural characterization of adjacency preserving surjective maps between exterior powers of arbitrary vector spaces is established, which generalizes the fundamental theorem of the geometry of alternate matrices. (c) 2024 Elsevier Inc. All rights reserved.
format Article
author Lau, Jinting
Lim, Ming Huat
author_facet Lau, Jinting
Lim, Ming Huat
author_sort Lau, Jinting
title Adjacency preserving maps between exterior powers of vector spaces
title_short Adjacency preserving maps between exterior powers of vector spaces
title_full Adjacency preserving maps between exterior powers of vector spaces
title_fullStr Adjacency preserving maps between exterior powers of vector spaces
title_full_unstemmed Adjacency preserving maps between exterior powers of vector spaces
title_sort adjacency preserving maps between exterior powers of vector spaces
publisher Elsevier
publishDate 2024
url http://eprints.um.edu.my/45743/
https://doi.org/10.1016/j.laa.2024.01.009
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