Universität zu Köln > Mathematisches Institut > Arbeitsgruppe Algebra

Meine Homepage ist mit mir an die University of Glasgow umgezogen:


PD Dr. Ghislain Fourier

Mathematisches Institut
der Universität zu Köln
Weyertal 86-90
50931 Köln                                                                                        




+49 221-470-4346


gfourier atat mi.uni-koeln.de



I have been a research assistant at the Mathematischen Institut of the Universität zu Köln until September 2013.



See also my publication profile on Google Scholar , Research Gate, MathSciNet, ArXiv

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.LittelmannWeyl 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. ShimozonoDemazure 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/