Orthogonal Matrix Invariants
Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Russia
- Corresponding Author:
- Lopatin AA
Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Pevtsova street, 13, Omsk 644099, Russia
E-mail: [email protected]
Received date: July 24, 2015; Accepted date: August 03, 2015; Published date: August 31, 2015
Citation: Lopatin AA (2015) Orthogonal Matrix Invariants. J Generalized Lie Theory Appl S1: 007. doi:10.4172/generalized-theory-applications.S1-007
Copyright: © 2015 Lopatin AA. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
The orthogonal group acts on the space of several n × n matrices by simultaneous conjugation. For an infinite field of characteristic different from two, relations between generators for the algebra of invariants are described. As an application, the maximal degree of elements of a minimal system of generators is described with deviation 3.