Representations of shifted quantum affine algebras and cluster algebras II: Non simply-laced types and cluster expansions
Year: 2026
Type: preprint
Abstract: We extend our previous results on cluster structures in the Grothendieck rings of categories $\mathcal{O}^{\mathrm{sh}}$ for shifted quantum affine algebras to the non-simply laced types. We also show that, for all types, the formal power series expressions of the cluster monomials in terms of classes of positive prefundamental representations can be regarded as limits of cluster expansions, thus establishing their positivity.
Source: arXiv (Cornell University)
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224122129