Universität zu Köln > Mathematisches Institut > Arbeitsgruppe Algebra
Meine Homepage ist mit mir an die University
of Glasgow umgezogen:
http://www.maths.gla.ac.uk/~gfourier/
PD
Dr. Ghislain Fourier
Mathematisches Institut
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I have been a research assistant at the Mathematischen Institut of
the Universität zu Köln until
September 2013.
1) G.Fourier: Tensorproduktfaktorisierung
affiner Demazure-Moduln an atomaren Elementen (2004), Diplomarbeit
2) G.Fourier, P.Littelmann:
Tensor product
structure of affine Demazure modules and limit constructions, Nagoya
Math. J. 182 (2006), 171–198
3) G.Fourier, P.Littelmann:
Weyl modules, Demazure
modules, KR-modules, crystals, fusion products and limit constructions, Adv.
Math. 211 (2007), no. 2, 566–593.
4) G.Fourier, A. Schilling, M. Shimozono:
Demazure structure
inside Kirillov-Reshetikhin crystals, J. Algebra 309 (2007), no. 1,
386–404
5) V.Chari, G.Fourier, P.Senesi: Weyl modules
for the twisted loop algebras, J. Algebra 319 (2008), no. 12, 5016–5038
6) G.Fourier: Some results on finite
dimensional modules for current and loop algebras, PhD-thesis (2007)
7) G.Fourier, M.Okado, A.Schilling: Kirillov-Reshetikhin
crystals for nonexcepetional types ,
Adv. Math. 222 (2009), no. 3, 1080–1116
8) 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).
9) V.Chari, G.Fourier, T.Khandai: A
categorical approach to Weyl modules , Transform. Groups 15 (2010), no. 3, 517–549
10) 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
11) 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
12) 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
13) G.Fourier, D.Kus: Demazure and
Weyl modules: The twisted current case, arXiv:1108.5960, accepted for publication in Transactions of the AMS (2012)
14) G.Fourier, N.Manning, P.Senesi: The global Weyl
modules for the twisted loop algebra, arXiv:1110.2752v2, Abhandlungen aus dem Mathematischen Seminar der Universität
Hamburg (2013), 10.1007/s12188-013-0074-2
15) 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, Symmetries, Integrable Systems and Representations, Springer
Proceedings in Mathematics and Statistics 40 (2012)
16) A.Bianchi, V.Chari, G.Fourier, A.Moura: On multigraded generalizations of Kirillov-Reshetikhin
modules, arXiv:1208.3236, Algebras
and Representation Theory (2013), 10.1007/s10468-013-9408-0
17) V.Chari, G.Fourier, D.Sagaki: Posets, Tensor products and Schur positivity,
arXiv:1210.6184
18) G.Fourier: Extended partial order and applications
to tensor products, ArXiv:1211.2923
19) G.Fourier: Weyl modules and Levi subalgebras,
ArXiv:12.12.6505
20) G.Fourier, N.Manning, A.Savage: Global
Weyl modules for equivariant map algebras, arXiv:1303.4437
21) G.Fourier, D.Kus:
Compression of Nakajima monomials in type B and D, in preparation
22) No further updates, see my new homepage:
http://www.maths.gla.ac.uk/~gfourier/