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  Semi-infinite Plücker relations and Weyl modules

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

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Latex : Semi-infinite Pl\"ucker relations and Weyl modules

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Feigin-Makedonskyi_Semi-infinite Pluecker relations and Weyl modules_2020.pdf (Publisher version), 374KB
 
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© The Author(s) 2018. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permission@oup.com.
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https://doi.org/10.1093/imrn/rny121 (Publisher version)
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 Creators:
Feigin, Evgeny, Author
Makedonskyi, Ievgen1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory, 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.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 38
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1709.05674
DOI: 10.1093/imrn/rny121
 Degree: -

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Title: International Mathematics Research Notices
  Abbreviation : IMRN
Source Genre: Journal
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Publ. Info: Oxford University Press
Pages: - Volume / Issue: 2020 (14) Sequence Number: - Start / End Page: 4357 - 4394 Identifier: -