Semi-infinite Plücker relations and Weyl modules

Feigin, Evgeny; Makedonskyi, Ievgen

doi:10.1093/imrn/rny121

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Semi-infinite Plücker relations and Weyl modules

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Makedonskyi, Ievgen
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1093/imrn/rny121
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arXiv:1709.05674.pdf
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Citation

Feigin, E., & Makedonskyi, I. (2020). Semi-infinite Plücker relations and Weyl modules. International Mathematics Research Notices, 2020(14), 4357-4394. doi:10.1093/imrn/rny121.

Cite as: https://hdl.handle.net/21.11116/0000-0007-A262-3

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.