INVARIANT-THEORY OF SPECIAL ORTHOGONAL GROUPS

Authors
ASLAKSEN H TAN EC ZHU CB
Citation
H. Aslaksen et al., INVARIANT-THEORY OF SPECIAL ORTHOGONAL GROUPS, Pacific journal of mathematics, 168(2), 1995, pp. 207-215
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
168
Issue
2
Year of publication
1995
Pages
207 - 215
Database
ISI
SICI code
0030-8730(1995)168:2<207:IOSOG>2.0.ZU;2-Y
Abstract
In this paper we study the action of SO(n) on m-types of n x n matrice s by simultaneous conjugation. We show that the polynomial invariants are generated by traces and polarized Pfaffians of skewsymmetric proje ctions. We also discuss the same problem for other classical groups.