Another proof of theorems of de Concini and Procesi

Mitsuyasu Hashimoto

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We give a new proof of some characteristic-free fundamental theorems in invariant theory first proved in C. De Concini and C. Procesi, A characteristic free approach to invariant theory, Adv. Math. 21 (1976), 330-354. We treat the action of the general linear group and the symplectic group. Our approach is geometric, and utilizes the fact that the categorical quotients are principal fiber bundles off codimension two or more.

Original languageEnglish
Pages (from-to)701-710
Number of pages10
JournalKyoto Journal of Mathematics
Volume45
Issue number4
Publication statusPublished - 2005
Externally publishedYes

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Invariant Theory
Principal Bundle
General Linear Group
Symplectic Group
Fiber Bundle
Theorem
Categorical
Codimension
Quotient

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Another proof of theorems of de Concini and Procesi. / Hashimoto, Mitsuyasu.

In: Kyoto Journal of Mathematics, Vol. 45, No. 4, 2005, p. 701-710.

Research output: Contribution to journalArticle

Hashimoto, M 2005, 'Another proof of theorems of de Concini and Procesi', Kyoto Journal of Mathematics, vol. 45, no. 4, pp. 701-710.
Hashimoto, Mitsuyasu. / Another proof of theorems of de Concini and Procesi. In: Kyoto Journal of Mathematics. 2005 ; Vol. 45, No. 4. pp. 701-710.
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