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. © 2024 Elsevier Inc.

Keywords

Linear algebra, Adjacency preserving maps, Arbitrary vectors, Exterior power, Fundamental theorems, Geometry of matrices, Multivectors, Power, Rank, Structural characterization, Surjective, Vector spaces

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

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