21 citations · 102 across the 49 of their papers we have counts for
4 papers · 2 filters
On q-analogs of weight multiplicities for the Lie superalgebras gl(n,m) and spo(2n,M)
Cedric Lecouvey, Cristian Lenart
The paper is devoted to the generalization of Lusztig's q-analog of weight multiplicities to the Lie superalgebras gl(n,m) and spo(2n,M). We define such q-analogs K_{lambda,mu}(q)…
Crystal isomorphisms for irreducible highest weight U_{v}{\hat{sl}}_{e})-modules of higher level
Nicolas Jacon, Cédric Lecouvey
We study the crystal graphs of irreducible $U_{v}(\hat{sl}}_{e})$-modules of higher level l. Generalizing works of the first author, we obtain a simple description of the bijection…
Stabilized plethysms for the classical Lie groups
Cedric Lecouvey
The plethysms of the Weyl characters associated to a classical Lie group by the symmetric functions stabilize in large rank. In the case of a power sum plethysm, we prove that the…
Universal graded characters and limit of Lusztig -analogues
Cedric Lecouvey
Let G be a symplectic or orthogonal complex Lie group with Lie algebra g. As a G-module, the decomposition of the symmetric algebra S(g) into its irreducible components can be expl…