# OIST Representation Theory Seminar

### Date

Tuesday, June 14, 2022 - 16:30 to 17:30

on Zoom

### Title: An example of A2 Rogers-Ramanujan bipartition identities of level 3

#### Abstract: In the 1970s, Lepowsky-Milne discovered a similarity between the infinite products of the Rogers-Ramanujan identities (RR identities, for short) and the principal characters of the level 3 standard modules of the affine Lie algebra of type $$A^{(1)}_{1}$$. Subsequently, Lepowsky-Wilson gave a Lie-theoretic interpretation and a proof of the RR identities with the vertex operators. In this talk, I will present some results (arXiv:2205.04811) for the level 3 case of type $$A^{(1)}_{2}$$.

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