Preservers of pairs of bivectors with bounded distance

Lim, Ming-Huat and Tan, Joshua Juat-Huan (2009) Preservers of pairs of bivectors with bounded distance. Linear Algebra and its Applications (430). pp. 564-573. ISSN 0024-3795

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We extend Liu's fundamental theorem of the geometry of alternate matrices to the second exterior power of an infinite dimensional vector space and also use her theorem to characterize surjective mappings T from the vector space V of all n x n alternate matrices over a field with at least three elements onto itself such that for any pair A,B in V,rank(A - B) <= 2k if and only if rank(T(A) - T(B)) <=2k, where k is a fixed positive integer such that n >= 2k + 2 and k >= 2. (Authors' abstract)

Item Type: Article
Uncontrolled Keywords: Adjacency preserving mappings ; Second exterior powers ; Arithmetic distance ; Alternate matrices
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Depositing User: Shahril Effendi Ibrahim
Date Deposited: 29 Oct 2009 08:38
Last Modified: 27 May 2013 05:48

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