Square-Zero Basis of Matrix Lie Algebras

Square-Zero Basis of Matrix Lie Algebras

Mathematics 2020, 8, 1032 A method is obtained to compute the maximum number of functionally independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a base of square-zero matrices. Some applications are also given.

Saved in:
Bibliographic Details
Main Authors: Díaz, R. Durán, Martínez, V. Gayoso, Encinas, L. Hernández, Masqué, J. Muñoz
Format: Journal Article
Language:English
Published: 17-07-2018
Subjects:
Mathematics - Representation Theory
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Mathematics 2020, 8, 1032 A method is obtained to compute the maximum number of functionally independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a base of square-zero matrices. Some applications are also given.
DOI:10.48550/arxiv.1807.06502