Semi-infinite Pl\"ucker relations and Weyl modules
Representation Theory
2020-10-21 v2 Algebraic Geometry
Combinatorics
Abstract
The goal of this paper is twofold. First, we write down the semi-infinite Pl\"ucker relations, describing the Drinfeld-Pl\"ucker embedding of the (formal version of) semi-infinite flag varieties in type A. Second, we study the homogeneous coordinate ring, i.e. the quotient by the ideal generated by the semi-infinite Pl\"ucker relations. We establish the isomorphism with the algebra of dual global Weyl modules and derive a new character formula.
Cite
@article{arxiv.1709.05674,
title = {Semi-infinite Pl\"ucker relations and Weyl modules},
author = {Evgeny Feigin and Ievgen Makedonskyi},
journal= {arXiv preprint arXiv:1709.05674},
year = {2020}
}
Comments
32 pages