Universität zu Köln > Mathematisches Institut > Arbeitsgruppe Algebra
Ghislain
Fourier
Mathematisches Institut
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Personal
I am scientific assistant in the Mathematischen
Institut of the Universität
zu Köln. To find more details please see my CV.
Written outcome
- G.Fourier: Tensorproduktfaktorisierung
affiner Demazure-Moduln an atomaren
Elementen (2004), Diplomarbeit
- G.Fourier, P.Littelmann:
Tensor product
structure of affine Demazure modules and limit
constructions, Nagoya Math. J. 182 (2006), 171–198
- G.Fourier, P.Littelmann:
Weyl modules, Demazure modules, KR-modules, crystals, fusion
products and limit constructions, Adv. Math. 211 (2007), no. 2,
566–593.
- G.Fourier, A. Schilling, M. Shimozono: Demazure
structure inside Kirillov-Reshetikhin crystals, J. Algebra 309
(2007), no. 1, 386–404
- V.Chari, G.Fourier,
P.Senesi: Weyl
modules for the twisted loop algebras, J. Algebra 319 (2008), no.
12, 5016–5038
- G.Fourier: Some results on finite
dimensional modules for current and loop algebras, PhD-thesis (2007)
- G.Fourier, M.Okado,
A.Schilling: Kirillov-Reshetikhin
crystals for nonexcepetional types
, Adv. Math. 222 (2009), no. 3, 1080–1116
- G.Fourier, M.Okado,
A.Schilling: Perfectness
of Kirillov-Reshetikhin crystals for nonexceptional types
, Quantum affine algebras, extended affine Lie algebras, and
their applications, 127–143, Contemp. Math., 506, Amer. Math. Soc.,
Providence, RI, (2010).
- V.Chari, G.Fourier,
T.Khandai: A
categorical approach to Weyl modules ,
Transform. Groups 15 (2010), no. 3, 517–549
- E.Feigin, G.Fourier,
P.Littelmann: PBW
filtration and bases for irreducible modules in type A_n (2011), Transform. Groups 16 (2011), no. 1, 71-89
- E.Feigin, G.Fourier,
P.Littelmann: PBW
filtration and bases for symplectic Lie algebras (2011), International
Mathematics Research Notices, first
published online February 17, 2011
- G.Fourier, T.Khandai,
D.Kus, A.Savage: Local Weyl
modules for equivariant map algebras with free abelian group actions, Journal of Algebra, Volume 350, p.386-404,
2012
- G.Fourier, D.Kus:
Demazure and Weyl modules: The twisted current case,
arXiv:1108.5960, accepted for
publication in Transactions of the AMS (2012)
- G.Fourier, N.Manning,
P.Senesi: The global
Weyl modules for the twisted loop algebra, arXiv:1110.2752v2
- E.Feigin, G.Fourier,
P.Littelmann: PBW--filtration
over Z and compatible bases for V(lambda) in type A_n and C_n, arXiv:1204.1854
·
V.Chari, G.Fourier, D.Sagaki:
Shuffles and Schur positivity, in preparation
Awards
- July 2005: The
"Barmenia Preis für herausragende Diplomarbeiten an der Bergischen
Universität im Bereich Mathematik"
- June 2008: The "Hermann-Preis für herausragende
Dissertationen in der Reinen Mathematik am Mathematischen Institut der
Universität zu Köln"