MULTITRANSITIVITY OF CALOGERO-MOSER SPACES

作者：Berest, Yuri^*; Eshmatov, Alimjon; Eshmatov, Farkhod

来源：Transformation Groups, 2016, 21(1): 35-50.

DOI：10.1007/s00031-015-9332-y

• FREE ASSOCIATIVE ALGEBRA
• QUIVER VARIETIES
• AUTOMORPHISMS

Let G be the group of unimodular automorphisms of a free associative a",-algebra on two generators. A theorem of G. Wilson and the first author [BW] asserts that the natural action of G on the Calogero-Moser spaces C (n) is transitive for all n I mu a"center dot. We extend this result in two ways: first, we prove that the action of G on C (n) is doubly transitive, meaning that G acts transitively on the configuration space of ordered pairs of distinct points in C (n) ; second, we prove that the diagonal action of G on is transitive provided n (1), n (2), aEuro broken vertical bar, n (m) are pairwise distinct numbers.

• 出版日期2016-3
• 单位四川大学