Infinite transitivity on the Calogero-Moser space C₂

• Published in: Algebra and Discrete Mathematics
• Date: 2021
• Main Authors: Kesten, J., Mathers, S., Normatov Z.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188709
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Infinite transitivity on the Calogero-Moser space C₂ / J. Kesten, S. Mathers, Z. Normatov // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 227–250. — Бібліогр.: 5 назв. — англ.

We prove a particular case of the conjecture of Berest–Eshmatov–Eshmatov by showing that the group of unimodular automorphisms of C[x, y] acts in an infinitely-transitive way on the Calogero-Moser space C₂.