Forum of Mathematics, Sigma (Jan 2021)
Beilinson–Drinfeld Schubert varieties and global Demazure modules
Abstract
We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.
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