In mathematics, a Demazure module, introduced by Demazure (1974a, 1974b), is a submodule of a finite-dimensional representation generated by an extremal...

character formula and Demazure modules and Demazure conjecture are named after Demazure, who wrote about them in 1974. Demazure modules are submodules of...

surfaces", Algebra & Number Theory 5 (2011), No. 3, 289–337. "Affine Demazure modules and T-fixed point subschemes in the affine Grassmannian", Advances...

group schemes was due to Alexander Grothendieck, Michel Raynaud and Michel Demazure in the early 1960s. A group scheme is a group object in a category of schemes...

for these representations. Similarly one gets character formulas for Demazure modules. The explicit bases given by standard monomial theory are closely related...

{\overline {k}}} of the residue field of p.) Extending Chevalley's work, Michel Demazure and Grothendieck showed that pinned reductive group schemes over any nonempty...

V_{0}} is called an F-form of V (and is not necessarily unique). Demazure Demazure's character formula direct sum The direct sum of representations V...

especially toric varieties. The field of toric varieties was developed by Demazure, Mumford, Miyake, Oda and others in the 1970s. He is also known for a book...

symmetric function hr to hr/n if n divides r and to 0 otherwise. Dieudonné module Demazure, Michel (1972), Lectures on p-divisible groups, Lecture Notes in Mathematics...

problème de la limite thermodynamique en mécanique statistique Michel Demazure Algèbres de Lie filtrées 1967–1968 Uriel Frisch Les fonctions parastochastiques...

determinant. This completes the sketch of the proof of Haboush's theorem. Demazure, Michel (1976), "Démonstration de la conjecture de Mumford (d'après W....

192–201, doi:10.2307/1969242, ISSN 0003-486X, JSTOR 1969242, MR 0015397 Demazure, Michel (1972), Lectures on p-divisible groups, Lecture Notes in Mathematics...

Department of Mathematics, Harvard University. OCLC 680377057. Zbl 0208.48701. Demazure, Michel; Grothendieck, Alexandre, eds. (1970). Séminaire de Géométrie Algébrique...

Macdonald polynomials. The non-symmetric Macdonald polynomials specialize to Demazure characters by taking q=t=0, and to key polynomials when q=t=∞. In 2018...

finite group to the numbers of characters of blocks of local subgroups. Demazure conjecture on representations of algebraic groups over the integers. Kazhdan–Lusztig...

strong school. Officially during this time, he had as students Michel Demazure (who worked on SGA3, on group schemes), Monique Hakim [fr] (relative schemes...

MR 0728990 Beauville, A.; Bourguignon, J.-P.; Demazure, M. (1985), Géométrie des surfaces K3: modules et périodes, Séminaire Palaiseau, Astérisque, vol...

(also known as stable Schubert polynomials) Key polynomials (also known as Demazure characters) Quasi-symmetric Schur polynomials Row-strict Schur polynomials...

section I.7.10. Demazure & Gabriel (1970), Proposition II.7.4.1; Jantzen (2003), Example I.8.5. Jantzen (2003), section I.9.6. Demazure & Gabriel (1970)...

Grothendieck's doctoral students who later became Bourbaki members, such as Michel Demazure and Jean-Louis Verdier. Mandelbrot was the nephew of Bourbaki founder Szolem...

complexes, d'après A. Andreotti et H. Grauert (finiteness theorems) Michel Demazure, Sous-groupes arithmétiques des groupes algébriques linéaires, d'après...

and abelian varieties) André Weil, Modules des surfaces de Riemann (moduli theory of Riemann surfaces) Michel Demazure, Structure du groupe orthogonal,...