Demazure conjecture

In mathematics, the Demazure conjecture is a conjecture about representations of algebraic groups over the integers made by {{harvs|txt|last=Demazure|authorlink=Michel Demazure|year=1974|loc=p. 83}}. 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. {{harvs|txt | last1=Lakshmibai | first1=V. | last2=Musili | first2=C. | last3=Seshadri | first3=C. S. | title=Geometry of G/P | doi=10.1090/S0273-0979-1979-14631-7 |doi-access=free|mr=520081 | year=1979 | journal=Bulletin of the American Mathematical Society |series=New Series | issn=0002-9904 | volume=1 | issue=2 | pages=432–435}} showed that Demazure's conjecture (for classical groups) follows from their work on standard monomial theory, and Peter Littelmann extended this to all reductive algebraic groups.