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Bibliographic Details
Main Authors: Eshmatov, Farkhod, García-Martínez, Xabier, Turdibaev, Rustam
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.06909
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Table of Contents:
  • 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.