Computational Approaches to Poisson Traces Associated to Finite Subgroups of Sp(2n)(C)

作者：Etingof Pavel^*; Gong Sherry; Pacchiano Aldo; Ren Qingchun; Schedler Travis

来源：Experimental Mathematics, 2012, 21(2): 141-170.

DOI：10.1080/10586458.2012.641840

• Poisson algebra
• Poisson variety
• Poisson traces
• Hamiltonian flow
• quotient singularity
• complex reflection groups

We reduce the computation of Poisson traces on quotients of symplectic vector spaces by finite subgroups of symplectic automorphisms to a finite one by proving several results that bound the degrees of such traces as well as the dimension in each degree. This applies more generally to traces on all polynomial functions that are invariant under invariant Hamiltonian flow. We implement these approaches by computer together with direct computation for

• 出版日期2012