3 citations · 4 across the 3 of their papers we have counts for
7 papers
On bases of quantized enveloping algebras
Bangming Deng, Jie Du
We give a systematic description of many monomial bases for a given quantized enveloping algebra and of many integral monomial bases for the associated Lusztig $\mathbb Z[v,v^{-1}]…
Monomial bases for quantum affine sl_n
Bangming Deng, Jie Du
We use the idea of generic extensions to investigate the correspondence between the isomorphism classes of nilpotent representations of a cyclic quiver and the orbits in the corres…
Frobenius morphisms and representations of algebras
Bangming Deng, Jie Du
By introducing Frobenius morphisms on algebras and their modules over the algebraic closure ${\bar \BF}_q$ of the finite field $\BF_q$ of elements, we establish a relat…
Stratifying q-Schur Algebras of Type D
Jie Du, Leonard L. Scott
Two families of q-Schur algebras associated to Hecke algebras of type D are introduced, and related to a family used by Geck, Gruber and Hiss [10], [11]. We prove that the algebras…
Finite dimensional algebras and cellular systems
Jie Du
We introduce the notion of a cellular system in order to deal with quasi-hereditary algebras. We shall prove that a necessary and sufficient condition for an algebra to be quasi-he…
Specht Modules and Branching Rules for Ariki-Koike Algebras
J. Du, H. Rui
Specht modules for an Ariki-Koike algebra have been investigated recently in the context of cellular algebras. Thus, these modules are defined as quotient modules of certain ``perm…