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arXiv · 1709.05674

Semi-infinite Pl\"ucker relations and Weyl modules

Evgeny Feigin·Ievgen Makedonskyi
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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.

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BibTeXRIS

Evgeny Feigin, Ievgen Makedonskyi. 2017-09-17. Semi-infinite Pl\"ucker relations and Weyl modules. https://arxiv.org/abs/1709.05674

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