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2021 A core model for G 2
Benjamin Cotton, Nathan F. Williams
Involve 14(3): 401-412 (2021). DOI: 10.2140/involve.2021.14.401

Abstract

The action of the affine Weyl group of type A n on its coroot lattice is classically modeled using n -cores, which are integer partitions with no hooks of length n . Exploiting an identification between the coroot lattices of types G 2 and A 2 , we use 3 -cores to give a combinatorial model for the action of the affine Weyl group W ˜ ( G 2 ) on its coroot lattice.

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Benjamin Cotton. Nathan F. Williams. "A core model for G 2 ." Involve 14 (3) 401 - 412, 2021. https://doi.org/10.2140/involve.2021.14.401

Information

Received: 12 June 2020; Accepted: 10 February 2021; Published: 2021
First available in Project Euclid: 30 July 2021

Digital Object Identifier: 10.2140/involve.2021.14.401

Subjects:
Primary: 05E10

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.14 • No. 3 • 2021
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