32 citations · 306 across the 68 of their papers we have counts for
4 papers · 1 filter
On structure and TKK algebras for Jordan superalgebras
Sigiswald Barbier, Kevin Coulembier
We compare a number of different definitions of structure algebras and TKK constructions for Jordan (super)algebras appearing in the literature. We demonstrate that, for unital sup…
The periplectic Brauer algebra
Kevin Coulembier
We study the periplectic Brauer algebra introduced by Moon in the study of invariant theory for periplectic Lie superalgebras. We determine when the algebra is quasi-hereditary and…
Borelic pairs for stratified algebras
Kevin Coulembier, Ruibin Zhang
We determine all values of the parameters for which the cell modules form a standard system, for a class of cellular diagram algebras including partition, Brauer, walled Brauer, Te…
The Joseph ideal for
Sigiswald Barbier, Kevin Coulembier
Using deformation theory, Braverman and Joseph obtained an alternative characterisation of the Joseph ideal for simple Lie algebras, which included even type A. In this note we ext…