32 citations · 306 across the 68 of their papers we have counts for
5 papers · 2 filters
Polynomial realisations of Lie (super)algebras and Bessel operators
Sigiswald Barbier, Kevin Coulembier
We study realisations of Lie (super)algebras in Weyl (super)algebras and connections with minimal representations. The main result is the construction of small realisations of Lie…
The primitive spectrum of basic classical Lie superalgebras
Kevin Coulembier
We prove Conjecture 5.7 in [arXiv:1409.2532], describing all inclusions between primitive ideals for the general linear superalgebra in terms of the Ext1-quiver of simple highest w…
Some homological properties of category O. IV
Kevin Coulembier, Volodymyr Mazorchuk
We study projective dimension and graded length of structural modules in parabolic-singular blocks of the BGG category O. Some of these are calculated explicitly, others are expres…
Dualities and derived equivalences for category O
Kevin Coulembier, Volodymyr Mazorchuk
We determine the Ringel duals for all blocks in the parabolic versions of the BGG category O associated to a reductive finite dimensional Lie algebra. In particular we find that, c…
Homological invariants in category O for the general linear superalgebra
Kevin Coulembier, Vera Serganova
We study three related homological properties of modules in the BGG category O for basic classical Lie superalgebras, with specific focus on the general linear superalgebra. These…