4 papers · 1 filter
Shifted quantum affine superalgebras
Piao-Juan Hu, Jian-Rong Li, Yan-Feng Luo
For a quantum affine superalgebra with a fixed Drinfeld current presentation, we study shifted quantum affine superalgebras through a two-sided shifted Drinfeld current presentatio…
Laws for triangular matrices
Xun Hu, Yanfeng Luo, Mikhail Volkov
We investigate identities satisfied by monoids of triangular matrices over fields and over additively idempotent semirings with 0 and 1, and exhibit several new instances in which…
Monoidal categorification of generalized cluster algebras and conjectures of Fraser and Gleitz
Xiao-Juan An, Jian-Rong Li, Yan-Feng Luo
Hernandez and Leclerc introduced the notion of monoidal categorification of cluster algebras. We define similarly the notion of monoidal categorifications of generalized cluster al…
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…