書誌事項
- 公開日
- 1963-06
- 権利情報
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- https://www.cambridge.org/core/terms
- DOI
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- 10.1017/s0027763000011028
- 公開者
- Cambridge University Press (CUP)
この論文をさがす
説明
<jats:p>Let <jats:italic>K</jats:italic> be a field of characteristic zero. Let <jats:italic>V</jats:italic> be an <jats:italic>n</jats:italic>-dimensional vector space over <jats:italic>K</jats:italic> and let <jats:italic>S</jats:italic> be the graded ring of polynomial functions on <jats:italic>V</jats:italic>. If <jats:italic>G</jats:italic> is a group of linear transformations of <jats:italic>V</jats:italic>, then <jats:italic>G</jats:italic> acts naturally as a group of automorphisms of <jats:italic>S</jats:italic> if we define</jats:p><jats:p><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S0027763000011028_inline1"/></jats:p><jats:p>The elements of <jats:italic>S</jats:italic> invariant under all <jats:italic>γ</jats:italic> ∈ <jats:italic>G</jats:italic> constitute a homogeneous subring <jats:italic>I(S)</jats:italic> of <jats:italic>S</jats:italic> called the ring of polynomial invariants of <jats:italic>G</jats:italic>.</jats:p>
収録刊行物
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- Nagoya Mathematical Journal
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Nagoya Mathematical Journal 22 57-64, 1963-06
Cambridge University Press (CUP)