32 citations · 306 across the 68 of their papers we have counts for
5 papers · 2 filters
Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules
Kevin Coulembier, Volodymyr Mazorchuk
We prove that the categories of Gelfand-Zeitlin modules of and Whittaker modules associated with a semi-simple complex finite-dimensional algebra $\m…
The primitive spectrum for gl(m|n)
Kevin Coulembier, Ian M. Musson
We study inclusions between primitive ideals in the universal enveloping algebra of general linear superalgebras. For classical Lie superalgebras, any primitive ideal is the annihi…
Some homological properties of category O. III
Kevin Coulembier, Volodymyr Mazorchuk
We prove that thick category associated to a semi-simple complex finite dimensional Lie algebra is extension full in the category of all modules. We also prove the we…
Bott-Borel-Weil theory, BGG reciprocity and twisting functors for Lie superalgebras
Kevin Coulembier
The main focus of this paper is Bott-Borel-Weil (BBW) theory for basic classical Lie superalgebras. We take a purely algebraic self-contained approach to the problem. A new element…
Primitive ideals, twisting functors and star actions for classical Lie superalgebras
Kevin Coulembier, Volodymyr Mazorchuk
We study three related topics in representation theory of classical Lie superalgebras. The first one is classification of primitive ideals, i.e. annihilator ideals of simple module…