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...
Main Authors: | , |
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Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
1996
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Online Access: | http://ndltd.ncl.edu.tw/handle/56765546154622259086 |
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.
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