KR-polynomial and canonical-basis conjecture
KR-polynomial and canonical-basis conjecture
Let and be vertices of the indicated folded Dynkin diagram with . Let be the corresponding dominant monomial, let be its bar-invariant quantum monomial, and let and denote the KR-polynomial and canonical-basis element, respectively. KR-polynomial and canonical-basis conjecture. One has
The claim proposes equality for this family of KR-polynomials; the supplied passage gives no resolution status.
Sources & referencesView supporting material
Primary source
Il-Seung Jang, Kyu-Hwan Lee and Se-jin Oh, “Quantization of virtual Grothendieck rings and their structure including quantum cluster algebras”, arXiv:2304.07246 (2023).
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