Representations of shifted quantum affine algebras and cluster algebras II: Non simply-laced types and cluster expansions
Christof Geiss, David Hernandez, Bernard Leclerc
Abstract
We extend our previous results on cluster structures in the Grothendieck rings of categories Osh 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.
Create a lesson
Related papers
Iwahori Whittaker functions for unramified quasi-split groups
Solomon Friedberg, Claire Frechette, Henrik P. A. Gustafsson
Rank reduction in orthosymplectic types
Kyungtak Hong, Alexander Tsymbaliuk
Finite group actions on the non-minimal nilpotent orbit closures in type A
Gwyn Bellamy, Misha Feigin, Pavel Shlykov
Non-split groups of Lie type and iSchur algebras with unequal parameters
Li Luo, Rui Song, Yang Yang
A nilpotent version of the first Kac conjecture
Lydia Gösmann
Relative derived delooping levels and torsion intervals
Weiqing Cao