7 papers
Auslander-Reiten combinatorics and -characters of representations of affine quantum groups
Ãlie Casbi, Jian-Rong Li
For each simple Lie algebra of simply-laced type, Hernandez and Leclerc introduced a certain category of finite-dimensional representation…
Representations of shifted twisted quantum affine algebras
Fei-Fei Li, Jian-Rong Li, Yan-Feng Luo
In this paper, we introduce and study shifted twisted quantum affine algebras which provide a twisted counterpart of the theory of shifted quantum affine algebras. The shifted twis…
The Diagrammar of Quantum Magnusian
Li Guo, Joon-Hwi Kim, Jung-Wook Kim +3
The logarithm of the time-evolution operator has been termed Magnusian, on account of the fact that its expansion describes the Magnus series. The diagrammatic expansion and comput…
Boundary -characters of evaluation modules for split quantum affine symmetric pairs
Jian-Rong Li, Tomasz Przezdziecki
We study evaluation modules for quantum symmetric pair coideal subalgebras of affine type . By computing the action of the generators in Lu and Wang's Drinfeld-type pr…
GKLO representations for shifted quantum affine symmetric pairs
Jian-Rong Li, Tomasz Przezdziecki
In this note, we introduce shifted quantum affine symmetric pairs of split simply-laced type, and construct their GKLO representations, following similar recent developments in the…
Compatibility of Drinfeld presentations and -characters for affine Kac-Moody quantum symmetric pairs: quasi-split case
Jian-Rong Li, Tomasz Przezdziecki
Let be a quasi-split affine quantum symmetric pair of type . This case is of particular interest thanks to the existence of geometr…