Journal
JOURNAL OF ALGEBRA
Volume 603, Issue -, Pages 201-212Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2022.04.001
Keywords
Poisson algebra; Invariant theory
Categories
Funding
- Ministerio de Economia y Competitividad (Spain) [PID2020-115155GB-I00]
- Research Foundation-Flanders (FWO) [V409722N]
Ask authors/readers for more resources
This paper investigates the defining relation of invariants of pairs of matrices of degree three, and proposes a novel approach using the Poisson algebra structure on the ring of invariants.
The defining relation on the minimal set of generators of the invariants of pairs of matrices of degree three has been established by Nakamoto. Furthermore, it has been simplified with another minimal set of generators by Aslaksen, Drensky and Sadikova using methods coming from representation theory. This work is devoted to obtain this defining relation in a completely different and novel way. We use the Poisson algebra structure on the ring of invariants of pairs of matrices to do so. (c) 2022 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
