Ghislain Fourier

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20122016

most citedPBW-degenerated Demazure modules and Schubert varieties for triangular elements

6 citations · 12 across the 6 of their papers we have counts for

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math.RT2014★ 6 cited

PBW-degenerated Demazure modules and Schubert varieties for triangular elements

Ghislain Fourier

We study certain faces of the normal polytope introduced by Feigin, Littelmann and the author whose lattice points parametrize a monomial basis of the PBW-degenerated of simple mod…

math.RT2014

New homogeneous ideals for current algebras: filtrations, fusion products and Pieri rules

Ghislain Fourier

New graded modules for the current algebra of $sl_{n}$ are introduced. Relating these modules to the fusion product of simple $sl_{n}$ -modules and local Weyl modu…

math.RT2012★ 3 cited

PBW--filtration over $\bz$ and compatible bases for $V_\bz(\la)$ in type $A_{n}$ and $C_{n}$

Evgeny Feigin, Ghislain Fourier, Peter Littelmann

We study the PBW-filtration on the highest weight representations $V(\la)$ of the Lie algebras of type $A_{n}$ and $C_{n}$ . This filtration is induced by the standard d…

PBW-degenerated Demazure modules and Schubert varieties for triangular elements

New homogeneous ideals for current algebras: filtrations, fusion products and Pieri rules

PBW--filtration over $\bz$ and compatible bases for $V_\bz(\la)$ in type An​ and Cn​

PBW--filtration over $\bz$ and compatible bases for $V_\bz(\la)$ in type $A_{n}$ and $C_{n}$