An example of A2 Rogers-Ramanujan bipartition identities of level 3
Shinsuke Tsuchioka (Tokyo Institute of Technology)
14-Jun-2022, 07:30-08:30 (22 months ago)
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 \(A^{(1)}_{2}\).
combinatoricsquantum algebrarings and algebrasrepresentation theory
Audience: researchers in the topic
OIST representation theory seminar
Series comments: Timings of this seminar may vary from week to week.
Organizer: | Liron Speyer* |
*contact for this listing |
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