The Polynomial Invariants of Symmetric Group and Alternating Group Actions

碩士 === 國立臺灣大學 === 數學系 === 84 === Because every finite group can be embedded in some symmetric group. Since every representation is decomposable by irreducible representation. Hence in our thesis, we first consider the invariant subring of a...

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Bibliographic Details
Main Authors: Tsai, Ko-Jen, 蔡科仁
Other Authors: Chu, Huah
Format: Others
Language:en_US
Published: 1996
Online Access:http://ndltd.ncl.edu.tw/handle/56765546154622259086
Description
Summary:碩士 === 國立臺灣大學 === 數學系 === 84 === Because every finite group can be embedded in some symmetric group. Since every representation is decomposable by irreducible representation. Hence in our thesis, we first consider the invariant subring of all irreducible representations of symmetric group. In the first Chapter of our thesis, we describe the representations of symmetric group and alternating group. Some of them do not appear in textbooks and papers. In Chapter 2, we want to find the Hironaka decomposition or minimal generating set of invariant subring for some representations of symmetric group and alternating group.