• In mathematics, a Demazure module, introduced by Demazure (1974a, 1974b), is a submodule of a finite-dimensional representation generated by an extremal...
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  • Thumbnail for Michel Demazure
    character formula and Demazure modules and Demazure conjecture are named after Demazure, who wrote about them in 1974. Demazure modules are submodules of...
    10 KB (1,078 words) - 06:17, 27 September 2024
  • Thumbnail for Xinwen Zhu
    surfaces", Algebra & Number Theory 5 (2011), No. 3, 289–337. "Affine Demazure modules and T-fixed point subschemes in the affine Grassmannian", Advances...
    5 KB (523 words) - 15:27, 18 September 2024
  • Thumbnail for Group scheme
    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...
    21 KB (2,860 words) - 07:07, 25 June 2025
  • for these representations. Similarly one gets character formulas for Demazure modules. The explicit bases given by standard monomial theory are closely related...
    10 KB (985 words) - 14:23, 8 December 2024
  • Thumbnail for Reductive group
    {\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...
    56 KB (8,018 words) - 09:30, 15 April 2025
  • 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...
    34 KB (5,011 words) - 21:43, 4 September 2024
  • 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...
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  • 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...
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  • problème de la limite thermodynamique en mécanique statistique Michel Demazure Algèbres de Lie filtrées 1967–1968 Uriel Frisch Les fonctions parastochastiques...
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  • 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...
    25 KB (3,596 words) - 02:18, 11 July 2025
  • Department of Mathematics, Harvard University. OCLC 680377057. Zbl 0208.48701. Demazure, Michel; Grothendieck, Alexandre, eds. (1970). Séminaire de Géométrie Algébrique...
    31 KB (4,507 words) - 19:26, 26 June 2025
  • 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...
    21 KB (3,160 words) - 01:24, 13 September 2024
  • determinant. This completes the sketch of the proof of Haboush's theorem. Demazure, Michel (1976), "Démonstration de la conjecture de Mumford (d'après W....
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  • finite group to the numbers of characters of blocks of local subgroups. Demazure conjecture on representations of algebraic groups over the integers. Kazhdan–Lusztig...
    195 KB (20,033 words) - 13:09, 12 July 2025
  • (also known as stable Schubert polynomials) Key polynomials (also known as Demazure characters) Quasi-symmetric Schur polynomials Row-strict Schur polynomials...
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  • Thumbnail for K3 surface
    MR 0728990 Beauville, A.; Bourguignon, J.-P.; Demazure, M. (1985), Géométrie des surfaces K3: modules et périodes, Séminaire Palaiseau, Astérisque, vol...
    34 KB (5,246 words) - 02:53, 6 March 2025
  • Thumbnail for Alexander Grothendieck
    strong school. Officially during this time, he had as students Michel Demazure (who worked on SGA3, on group schemes), Monique Hakim [fr] (relative schemes...
    82 KB (8,602 words) - 10:27, 8 July 2025
  • 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)...
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  • 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...
    102 KB (11,886 words) - 22:53, 3 July 2025
  • complexes, d'après A. Andreotti et H. Grauert (finiteness theorems) Michel Demazure, Sous-groupes arithmétiques des groupes algébriques linéaires, d'après...
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  • and abelian varieties) André Weil, Modules des surfaces de Riemann (moduli theory of Riemann surfaces) Michel Demazure, Structure du groupe orthogonal,...
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