Speaker
滝聞太基 (岡山大学自然科学研究科)
Date
October 7, 10:00-10:50
Title
Toward the Andrews-Gordon identities of \(A^{(2)}_{2}\) (slide)
Abstract
In 1970-80s Lepowsky-Wilson gave a Lie-theoretic proof for the Rogers-Ramanujan partition identities using the representation theory of the affine Lie algebra \(A^{(1)}_{1}\), and since then many attempts to discover similar identities related to other affine Lie algebras have been made. In this talk I will report our recent results on some identities regarding the affine Lie algebra \(A^{(2)}_{2}\). This is a joint work with Shunsuke Tsuchioka.