Adjacency preserving maps between exterior powers of vector spaces

Document Type

Article

Publication Date

4-1-2024

Abstract

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.

Keywords

Adjacency preserving maps, Multivectors, Exterior powers, Rank, Geometry of matrices

Divisions

MathematicalSciences

Funders

Ministry of Higher Education Malaysia (MOHE) via Fundamental Research Grant Scheme (FRGS/1/2022/STG06/UM/02/7)

Publication Title

Linear Algebra and its Applications

Volume

686

Publisher

Elsevier

Publisher Location

STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA

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