### 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 language | English |
---|---|

Pages (from-to) | 701-710 |

Number of pages | 10 |

Journal | Kyoto Journal of Mathematics |

Volume | 45 |

Issue number | 4 |

Publication status | Published - 2005 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Kyoto Journal of Mathematics*,

*45*(4), 701-710.

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

Research output: Contribution to journal › Article

*Kyoto Journal of Mathematics*, vol. 45, no. 4, pp. 701-710.

}

TY - JOUR

T1 - Another proof of theorems of de Concini and Procesi

AU - Hashimoto, Mitsuyasu

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33744775937&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33744775937&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33744775937

VL - 45

SP - 701

EP - 710

JO - Journal of Mathematics of Kyoto University

JF - Journal of Mathematics of Kyoto University

SN - 0023-608X

IS - 4

ER -