Poisson Ideals in Cluster Algebras and the Spectra of Quantized Coordinate Rings

Sebastian Zwicknagl

REVIEW

Poisson Ideals in Cluster Algebras and the Spectra of Quantized Coordinate Rings

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1107.2760 v2 pith:H65AOLVI submitted 2011-07-14 math.QA math-phmath.MP

Poisson Ideals in Cluster Algebras and the Spectra of Quantized Coordinate Rings

Sebastian Zwicknagl This is my paper

classification math.QA math-phmath.MP

keywords algebraclusterpoissonquantizedcoordinatedescribeidealsquantum

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We describe the Poisson ideals and attached symplectic geometry of a cluster algebra with compatible Poisson structure. We apply these results to determine the spectrum of a quantum cluster algebra. As an application, we describe the topology on the spectra of quantized coordinate rings such as quantum matrices and the quantized function algebra of the general linear group.

Poisson Ideals in Cluster Algebras and the Spectra of Quantized Coordinate Rings

discussion (0)