75 citations · 305 across the 41 of their papers we have counts for
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Weyl modules and Levi subalgebras
Ghislain Fourier
For a simple complex Lie algebra of finite rank and classical type, we fix a triangular decomposition and consider the simple Levi subalgebras associated to closed subsets of roots…
Extended partial order and applications to tensor products
Ghislain Fourier
We extend the preorder on k-tuples of dominant weights of a simple complex Lie algebra g of classical type adding up to a fixed weight defined by V. Chari, D. Sagaki and the au…
Posets, Tensor Products and Schur positivity
Vyjayanthi Chari, Ghislain Fourier, Daisuke Sagaki
Let g be a complex finite-dimensional simple Lie algebra. Given a positive integer k and a dominant weight λ, we define a preorder on the set of k-tuples of dominant weig…
On multigraded generalizations of Kirillov-Reshetikhin modules
Angelo Bianchi, Vyjayanthi Chari, Ghislain Fourier +1
We study the category of Z^l-graded modules with finite-dimensional graded pieces for certain Z+^l-graded Lie algebras. We also consider certain Serre subcategories with finitely m…
PBW--filtration over $\bz$ and compatible bases for $V_\bz(\la)$ in type and
Evgeny Feigin, Ghislain Fourier, Peter Littelmann
We study the PBW-filtration on the highest weight representations $V(\la)$ of the Lie algebras of type and . This filtration is induced by the standard d…