2 citations · 3 across the 4 of their papers we have counts for
15 papers · 1 filter
Annihilator ideals and blocks of Whittaker modules over quasireductive Lie superalgebras
Chih-Whi Chen
We extend Kostant's result on annihilator ideals of non-singular simple Whittaker modules over Lie algebras to (possibly singular) simple Whittaker modules over Lie superalgebras.…
On semisimplicity of Jantzen middles for the periplectic Lie superalgebra
Chih-Whi Chen
We prove that an integral block of the category of the periplectic Lie superalgebra contains a non-semisimple Jantzen middle if and only if it contains a simple module…
Whittaker modules for classical Lie superalgebras
Chih-Whi Chen
We classify simple Whittaker modules for classical Lie superalgebras in terms of their parabolic decompositions. We establish a type of Miličić-Soergel equivalence of a category of…
Blocks and characters of -modules of non-integral weights
Chih-Whi Chen, Shun-Jen Cheng, Li Luo
We classify blocks in the BGG category of modules of non-integral weights for the exceptional Lie superalgebra . We compute the characters for tilting modules of…
Some homological properties of category for Lie superalgebras
Chih-Whi Chen, Volodymyr Mazorchuk
For classical Lie superalgebras of type I, we provide necessary and sufficient conditions for a Verma supermodule to be such that every non-zero homomorphism from another Ve…
Parabolic category for periplectic Lie superalgebras
Chih-Whi Chen, Yung-Ning Peng
We provide a linkage principle in an arbitrary parabolic category for the periplectic Lie superalgebras . As an application, we classif…