Noncommutative Poisson structure and invariants of matrices

Autor: Eshmatov, Farkhod, García-Martínez, Xabier, Turdibaev, Rustam
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We introduce a novel approach that employs techniques from noncommutative Poisson geometry to comprehend the algebra of invariants of two $n\times n$ matrices. We entirely solve the open problem of computing the algebra of invariants of two $4 \times 4$ matrices. As an application, we derive the complete description of the invariant commuting variety of $4 \times 4$ matrices and the fourth Calogero-Moser space.
Databáze: arXiv