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math.RT2007
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)…
math.RT2007★ 1 cited
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…
math.RT2007
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…