5 citations · 10 across the 4 of their papers we have counts for
5 papers
Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras
Florence Fauquant-Millet, Polyxeni Lamprou
We show that the Poisson centre of truncated maximal parabolic subalgebras of a simple Lie algebra of type B, D and E_6 is a polynomial algebra. In roughly half of the cases the po…
A new interpretation of Catalan numbers
Anthony Joseph, Polyxeni Lamprou
Towards the study of the Kashiwara B(infinity) crystal, sets H^t of functions were introduced given by equivalence classes of unordered partitions satisfying certain boundary condi…
Slices for maximal parabolic subalgebras of a semisimple Lie algebra
Florence Fauquant-Millet, Polyxeni Lamprou
Let p be a maximal truncated parabolic subalgebra of a simple Lie Algebra. It was shown in many cases that the Poisson centre Y(p) is a polynomial algebra. We construct a slice for…
A Littelmann path model for crystals of Generalized Kac-Moody algebras revisited
Anthony Joseph, Polyxeni Lamprou
A Littelmann path model is constructed for crystals pertaining to a not necessarily symmetrizable Borcherds-Cartan matrix. Here one must overcome several combinatorial problems com…
Path model for quantum loop modules of fundamental type
Jacob Greenstein, Polyxeni Lamprou
For a certain class of simple integrable modules of level zero over a quantised affine algebra, we establish the existence of a pseudo-crystal basis and show that such a basis admi…