From the 1 of 4 linked papers with an AI index.
4 papers
Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types
Yumeng Wu
The paper constructs PBW and canonical bases for folding Khovanov–Lauda–Rouquier algebras in symmetrizable types using Lusztig's perverse sheaf framework, and shows that the transi…
Lusztig sheaves and integrable highest weight modules in the symmetrizable case
Yixin Lan, Yumeng Wu, Jie Xiao
This paper continues the work of \cite{fang2023lusztigsheavesintegrablehighest} and \cite{fang2023lusztigsheavestensorproducts}. For a symmetrizable generalized Cartan matrix a…
Geometric realization of affine bases: the Kronecker quiver case
Yumeng Wu, Jie Xiao
In this paper, we study the transition matrix between the PBW basis and the canonical basis for the negative part of the quantized enveloping algebra of the Kronecker quiver from a…
Structure coefficients for quantum groups
Yixin Lan, Yumeng Wu, Jie Xiao
According to the Hall algebras of quivers with automorphisms under Lusztig's construction, the polynominal forms of several structure coefficients for quantum groups of all finite…