淡江大學機構典藏:Item 987654321/41265
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41265


    Title: Efficient generation of the ring of invariants
    Authors: 胡守仁;Hu, Shou-jen;Kang, Ming-chang
    Contributors: 淡江大學數學學系
    Date: 1996-03-01
    Issue Date: 2010-01-28 07:07:58 (UTC+8)
    Publisher: Elsevier
    Abstract: We shall use the Binet–Minc formula in the theory of permanents to prove David Richman's theorem: LetGbe a finite group acting onA≔R[a1,…, ar], whereRis any commutative ring with 1/|G|!∈R. Then the ring of invariantsAGis generated overRby ∑σ∈Gσ(aα11aα22···aαrr), where α1+···+αr⩽|G|. Applications of permanents to other problems related to invariants are given also.
    Relation: Journal of Algebra 180(2), pp.341-363
    DOI: 10.1006/jabr.1996.0071
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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