Demazure conjecture
In mathematics, the Demazure conjecture is a conjecture about representations of algebraic groups over the integers made by Michel Demazure.[1] The conjecture implies that many of the results of his paper can be extended from complex algebraic groups to algebraic groups over fields of other characteristics or over the integers. Lakshmibal, Musili and Seshadri[2] showed that Demazure's conjecture (for classical groups) follows from their work on standard monomial theory, and Littelmann extended this to all reductive algebraic groups.[citation needed]
References
[edit]- Demazure, Michel (1974). "Désingularisation des variétés de Schubert généralisées". Annales scientifiques de l'École Normale Supérieure. 4 (in French). 7 (1): 53–88. doi:10.24033/asens.1261. MR 0354697. Zbl 0312.14009.
- Lakshmibai, V.; Musili, C.; Seshadri, C. S. (1979). "Geometry of G/P". Bulletin of the American Mathematical Society. New Series. 1 (2): 432–435. doi:10.1090/S0273-0979-1979-14631-7. MR 0520081.
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