Mathematical Research Letters

Volume 29 (2022)

Number 5

Semi-infinite Plücker relations and arcs over toric degeneration

Pages: 1499 – 1536



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


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.

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