Calculation of Rings of Invariants of Certain Reductive Algebraic Groups (Algebraic system, Logic, Language and Related Areas in Computer Sciences II)

中島, 晴久

説明

Let G be an affine connected algebraic group acting regularly on an affine Krull scheme X = Spec(R) over the complex number field C. We study on the equidimensionality of the inclusion R[G] → R by the minimal calculation of the ring R[G] of invariants of G in R by cutting prime semi-invariants which form free modules over R[G]. Consequently e see that C[V] is free as a C[V][G]module, for any equidimensional representation V of a reductive algebraic group G with simple semisimple part,

収録刊行物

数理解析研究所講究録

数理解析研究所講究録 2188 45-53, 2021-07

京都大学数理解析研究所

キーワード

詳細情報詳細情報について

CRID: 1050289920585914752

NII書誌ID: AN00061013

HANDLE: 2433/265614

ISSN: 18802818

本文言語コード: en

資料種別: departmental bulletin paper

データソース種別

IRDB

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