Mathematical Research Letters

Volume 29 (2022)

Number 5

Semi-infinite Plücker relations and arcs over toric degeneration

Pages: 1499 – 1536

DOI: https://dx.doi.org/10.4310/MRL.2022.v29.n5.a9

Author

Ievgen Makedonskyi (Center of Perspective Studies, SkolTech, Moscow, Russia)

Abstract

We study the algebra of Weyl modules in types $A$ and $C$ using the methods of arcs over toric degenerations and functional realization of dual space. We compute the generators and relations of this algebra and construct its basis.

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The author’s work was partially supported by the grant RSF-DFG 19-11-00056.

Received 24 June 2020

Accepted 4 July 2021

Published 21 April 2023