3 papers
math.NT2026
Dynamical systems defined by polynomials with algebraic properties
Shigeki Akiyama, Xiang Gao, Teturo Kamae
Let (x_n; n\in Z) be a bisequence of elements x_n in the 1-dimensional torus R/Z, which is called a stream over R/Z. Let P(z)=a_k z^k+...+a_1 z+a_0 be a polynomial with integer coe…
math.SG2026
Some incarnations of Hamiltonian reduction in symplectic geometry and geometric representation theory
Peter Crooks, Xiang Gao, Mitchell Pound +1
In this expository note, we give a self-contained introduction to some modern incarnations of Hamiltonian reduction. Particular emphasis is placed on applications to symplectic geo…
math-ph2026
Nijenhuis operators on 2D pre-Lie algebras and 3D associative algebras
Xiaoguang Zou, Xiang Gao, Chuangchuang Kang +1
In this paper, we describe all Nijenhuis operators on 2-dimensional complex pre-Lie algebras and 3-dimensional complex associative algebras. As an application, using these operator…