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
U2 - 10.1215/kjm/1250281653
DO - 10.1215/kjm/1250281653
M3 - Article
AN - SCOPUS:33744775937
SN - 0023-608X
VL - 45
SP - 701
EP - 710
JO - Journal of Mathematics of Kyoto University
JF - Journal of Mathematics of Kyoto University
IS - 4
ER -