對稱群之不變量

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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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