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papers

Publications (39)

math.RT2013

Posets, Tensor Products and Schur positivity

Vyjayanthi Chari, Ghislain Fourier, Daisuke Sagaki

math.RT2011

Local Weyl modules for equivariant map algebras with free abelian group actions

Ghislain Fourier, Tanusree Khandai, Deniz Kus +1

math.AG2019

Linear degenerations of flag varieties: partial flags, defining equations, and group actions

Giovanni Cerulli Irelli, Xin Fang, Evgeny Feigin +2

math.CO2015

Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence

Ghislain Fourier

math.RT2010

PBW filtration and bases for symplectic Lie algebras

Evgeny Feigin, Ghislain Fourier, Peter Littelmann

math.CO2016

Toric degenerations of Gr(2,n) and Gr(3,6) via plabic graphs

Lara Bossinger, Xin Fang, Ghislain Fourier +2

math.RT2012

On multigraded generalizations of Kirillov-Reshetikhin modules

Angelo Bianchi, Vyjayanthi Chari, Ghislain Fourier +1

math.RT2015

PBW-type filtration on quantum groups of type $A_n$

Xin Fang, Ghislain Fourier, Markus Reineke

math.CO2017

A Continuous Family of Marked Poset Polytopes

Xin Fang, Ghislain Fourier, Jan-Philipp Litza +1

math.RT2013

Weyl modules and Levi subalgebras

Ghislain Fourier

math.RT2011

Demazure modules and Weyl modules: The twisted current case

Ghislain Fourier, Deniz Kus

math.RT2014

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

Ghislain Fourier

math.RT2009

A categorical approach to Weyl modules

Vyjayanthi Chari, Ghislain Fourier, Tanusree Khandai

math.AG2016

On toric degenerations of flag varieties

Xin Fang, Ghislain Fourier, Peter Littelmann

math.RT2016

Degree cones and monomial bases of Lie algebras and quantum groups

Teodor Backhaus, Xin Fang, Ghislain Fourier

math.RT2008

Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types

Ghislain Fourier, Masato Okado, Anne Schilling

math.AG2017

Essential bases and toric degenerations arising from birational sequences

Xin Fang, Ghislain Fourier, Peter Littelmann

math.RT2016

Marked chain-order polytopes

Xin Fang, Ghislain Fourier

math.RT2013

Global Weyl modules for equivariant map algebras

Ghislain Fourier, Nathan Manning, Alistair Savage

math.RT2010

PBW filtration and bases for irreducible modules in type $A_n$

Evgeny Feigin, Ghislain Fourier, Peter Littelmann

math.RT2005

Tensor product structure of affine Demazure modules and limit constructions

Ghislain Fourier, Peter Littelmann

math.RT2006

Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions

Ghislain Fourier, Peter Littelmann

math.RT2014

Schur Positivity and Kirillov-Reshetikhin Modules

Ghislain Fourier, David Hernandez

math.QA2006

Demazure structure inside Kirillov-Reshetikhin crystals

Ghislain Fourier, Anne Schilling, Mark Shimozono

math.RT2007

Weyl modules for the twisted loop algebras

Vyjayanthi Chari, Ghislain Fourier, Prasad Senesi

math.RT2014

PBW-degenerated Demazure modules and Schubert varieties for triangular elements

Ghislain Fourier

math.RT2012

PBW--filtration over $\bz$ and compatible bases for $V_\bz(\la)$ in type ${\tt A}_n$ and ${\tt C}_n$

Evgeny Feigin, Ghislain Fourier, Peter Littelmann

math.RT2011

Weyl modules for multiloop algebras

Ghislain Fourier, Tanusree Khandai, Deniz Kus

math.RT2014

The degree of the Hilbert-Poincaré polynomial of PBW-graded modules

Teodor Backhaus, Lara Bossinger, Christian Desczyk +1

math.RT2016

Torus fixed points in Schubert varieties and normalized median Genocchi numbers

Xin Fang, Ghislain Fourier

math.CO2013

Extended partial order and applications to tensor products

Ghislain Fourier

math.AG2016

Linear degenerations of flag varieties

Giovanni Cerulli Irelli, Xin Fang, Evgeny Feigin +2

math.RT2019

Degenerate Schubert Varieties in Type A

Rocco Chirivi', Xin Fang, Ghislain Fourier

math.RT2018

On Truncated Weyl Modules

Ghislain Fourier, Victor Martins, Adriano Moura

math.RT2019

String cone and Superpotential combinatorics for flag and Schubert varieties in type A

Lara Bossinger, Ghislain Fourier

math.RT2011

Global Weyl modules for the twisted loop algebra

Ghislain Fourier, Nathan Manning, Prasad Senesi

math.RT2009

Kirillov--Reshetikhin crystals for nonexceptional types

Ghislain Fourier, Masato Okado, Anne Schilling

math.RT2015

Minuscule Schubert varieties: Poset polytopes, PBW-degenerated Demazure modules, and Kogan faces

Rekha Biswal, Ghislain Fourier

math.AG2015

Favourable modules: Filtrations, polytopes, Newton-Okounkov bodies and flat degenerations

Evgeny Feigin, Ghislain Fourier, Peter Littelmann