%0 Journal Article
%T Extremal projectors of two-parameter Kashiwara algebras
%A Weideng Cui
%J Mathematics
%D 2014
%I arXiv
%R 10.1063/1.4895915
%X We define a two-parameter Kashiwara algebra $B_{r,s}(\mathfrak{g})$ and its extremal projector, and study their basic properties. Applying their properties to the category $\mathcal{O}(B_{r,s}(\mathfrak{g}))$, whose objects are "upper bounded" $B_{r,s}(\mathfrak{g})$-modules, we obtain its semi-simplicity and the classification of simple modules.
%U http://arxiv.org/abs/1405.4477v1