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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/5768

    Title: 對稱群之不變量
    Other Titles: Vector Invariants of Symmetric Groups
    Authors: 胡守仁
    Contributors: 淡江大學數學研究所
    Keywords: 生成元;不變量;廣義基本對稱式;Generators;Invariants;Generalized elementary symmetric polynomials
    Date: 1995
    Issue Date: 2009-03-16 13:09:49 (UTC+8)
    Abstract: 對稱群S/sub n/對K[X/sub i//sup j/:1.ltoreq.i.ltoreq. n,1.ltoreq.j.ltoreq.m詵R.sigma.(X/sub i//sup j/)=X/sub .sigma.(i)//sup j/之方式作用.吾人可得其不變量 環K[X/sub i//sup j/:1.ltoreq.i.ltoreq.n,1.ltoreq.j.ltoreq. m]/sup G/可由廣義基本對稱式所生成.但其數目遠超過實際所需生成元之個數.本計畫中,吾人 將以一系統之方式,由其中抽出最小數目之廣 義基本對稱式以生成K[X/subi//sup j/: 1.ltoreq.i .ltoreq.n, 1.ltoreq.j.ltoreq.m]/sup G/.
    Appears in Collections:[Graduate Institute & Department of Mathematics] Research Paper

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