Relations between O(n)-invariants of several matrices
Representation Theory
2011-06-07 v4 Algebraic Geometry
Rings and Algebras
Abstract
A linear group G<GL(n) acts on d-tuples of n x n matrices by simultaneous conjugation. In [Adv. Math. 19 (1976), 306-381] Procesi established generators and relations between them for G-invariants, where G is GL(n), O(n), and Sp(n) and the characteristic of base field is zero. We continue generalization of the mentioned results to the case of positive characteristic originated by Donkin in [Invent. Math. 110 (1992), 389-401]. We investigate relations between generators for O(n)-invariants.
Keywords
Cite
@article{arxiv.0902.4266,
title = {Relations between O(n)-invariants of several matrices},
author = {A. A. Lopatin},
journal= {arXiv preprint arXiv:0902.4266},
year = {2011}
}
Comments
27 pages; v4. minor typos are corrected