29 citations · 36 across the 11 of their papers we have counts for
11 papers
Primitive elements in Ringel-Hall algebras of tame hereditary algebras
Bangming Deng, Weihao Li
We study primitive elements in the Ringel-Hall algebra H(A) of an algebra A over a finite field associated with a quiver with automorphism. When A is a tame hereditary algebra, we…
Counting Representations of Quivers Respecting Nilpotent Relations over Finite Fields
Bangming Deng, Jiuzhao Hua
This paper presents analogous results of Hua [7][8] on numbers of representations of quivers over finite fields which respect nilpotent relations under certain assumptions. A close…
Slim cyclotomic q-Schur algebras
Bangming Deng, Jie Du, Guiyu Yang
We construct a new basis for a slim cyclotomic -Schur algebra $\cysSr$ via symmetric polynomials in Jucys--Murphy operators of the cyclotomic Hecke algebra $\cysHr$. We show tha…
Applications of mutations in the derived categories of weighted projective lines to Lie and quantum algebras
Bangming Deng, Shiquan Ruan, Jie Xiao
Let be the category of coherent sheaves over a weighted projective line and let be its bounded derived category. The pre…
Hall polynomials for tame type
Bangming Deng, Shiquan Ruan
In the present paper we prove that Hall polynomial exists for each triple of decomposition sequences which parameterize isomorphism classes of coherent sheaves of a domestic weight…
Hall algebras of cyclic quivers and -deformed Fock spaces
Bangming Deng, Jie Xiao
Based on the work of Ringel and Green, one can define the (Drinfeld) double Ringel--Hall algebra of a quiver as well as its highest weight modules. The main p…