8 papers
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…
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…
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…
Auslander-Reiten combinatorics and -characters of representations of affine quantum groups
Élie Casbi, Jian-Rong Li
For each simple Lie algebra of simply-laced type, Hernandez and Leclerc introduced a certain category of finite-dimensional representation…