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Bivectors over a Finite Field

MacDougall, James A. (1981) Bivectors over a Finite Field. Canadian Mathematical Bulletin, 24 . pp. 489-490.

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    Abstract

    Let $U$ be an $n$-dimensional vector space over a finite field of $q$ elements. The number of elements of $A^2 U$ of each irreduaile length is found using the isomorphism of $A^2 U$ with $H_n$ the space of $n \times n$ skew-symmetric matrices, and results due to Carlitz and MacWilliams on the number of skew-symmetric matrices of any given rank.

    Item Type: Article
    Subjects: 00-xx General
    Faculty: UNSPECIFIED
    Depositing User: Stephanie
    Date Deposited: 18 Nov 2010 12:06
    Last Modified: 18 Nov 2010 12:06
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/845

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