OIST Representation Theory Seminar


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


on Zoom


Shunsuke Tsuchioka, Tokyo Institute of Technology

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 \(A^{(1)}_{2}\).


All-OIST Category: 

Subscribe to the OIST Calendar: Right-click to download, then open in your calendar application.