On trigonometric Calogero-Moser spaces
Zafar NormatovSchool of Mathematics, Jilin University, Changchun, 130012, ChinaYingqi WangSchool of Mathematics, Jilin University, Changchun, 130012, ChinaShuai ZengSchool of Mathematics, Jilin University, Changchun, 130012, China
ABI
Abstract
In this paper, we investigate the trigonometric Calogero-Moser space C 3 tri as an irreducible affine variety and analyze the detailed structure of its coordinate ring C [ C 3 tri ] . We establish and optimize the Poisson structure on C 3 tri , deriving the Poisson bracket multiplication table for the generators a 1 , … , a 9 . Furthermore, we identify five defining relations r 1 , … , r 5 among the generators and establish the isomorphism C [ C 3 tri ] ≅ C [ a 1 , … , a 9 ] / I , where I is the ideal generated by the five relations.
Topics
Identifiers
Citations and references
Cited by 014 references
Metrics — AkademScholar · Coming soon