4 citations · 5 across the 5 of their papers we have counts for
5 papers
Canonical Bases of Borcherds-Cartan Type
Yiqiang Li, Zongzhu Lin
We study the canonical basis for the negative part of the quantum generalized Kac-Moody algebra associated to a symmetric Borcherds-Cartan matrix. The algebras associated to two di…
Generalized Kac-Moody Lie Algebras And Product Quivers
Yiqiang Li, Zongzhu Lin
We construct the entire generalized Kac-Moody Lie algebra as a quotient of the positive part of another generalized Kac-Moody Lie algebra. The positive part of a generalized Kac-Mo…
A realization of quantum groups via product valued quivers
Yiqiang Li, Zongzhu Lin
Let U be the quantum group associated to a symmetrizable generalized Cartan matrix. We give a realization of U from the category of the representations of certain product valued qu…
Notes on affine canonical and monomial bases
Yiqiang Li
We investigate the affine canonical basis and the monomial basis constructed in [LXZ] in Lusztig's geometric setting. We show that the transition matrix between the two bases is up…
Ar-Quiver Approach to Affine Canonical Basis Elements
Yiqiang Li, Zongzhu Lin
We describe the affine canonical basis elements in the case when the affine quiver has arbitrary orientation. This generalizes Lusztig's description.