3 papers
math.QA2026
Construction of PBW and canonical bases in the folding extension algebras for symmetrizable types
Yumeng Wu
We study extension algebras arising from Lusztig's construction of perverse sheaves on quiver representation spaces equipped with an admissible automorphism , leading to folding…
math.QA2026
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…
math.RT2025
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…