Computational Approaches to Poisson Traces Associated to Finite Subgroups of Sp[subscript 2n](C)
Name
Etingof_Computational approaches.pdf
Size
470.04 KB
Format
Adobe PDF
Checksum (MD5)
6cb1d213ce8593e52da0adfce7acfe2d
Author(s)
Gong, Sherry
Ren, Qingchun
Schedler, Travis
Etingof, Pavel I.
Pacchiano Camacho, Aldo
Date Issued
May 2012
Journal
Experimental Mathematics
Publisher
Taylor & Francis
Citation
Etingof, Pavel, Sherry Gong, Aldo Pacchiano, Qingchun Ren, and Travis Schedler. “Computational Approaches to Poisson Traces Associated to Finite Subgroups of Sp[subscript 2n](C).” Experimental Mathematics 21, no. 2 (June 2012): 141-170.
Version
Original manuscript
Abstract
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 infinite families of groups, focusing on complex reflection and abelian subgroups of GL[subscript 2](C) < Sp[subscript 4](C), Coxeter groups of rank <3 and types A 4, B 4=C 4, and D 4, and subgroups of SL[subscript 2](C).
Description
Original manuscript January 26, 2011
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1080/10586458.2012.641840
