Presented by: 
Ole Warnaar, UQ
Date: 
Tue 24 Sep, 3:00 pm - 4:00 pm
Venue: 
Room 442, Building 67

The Rogers-Ramanujan identities are two famous q-series identities that play an important role in partition theory, representation theory and statistical mechanics. Eighty years after their first discovery by Rogers in 1894, Andrews embedded both identities into an infinite family of Rogers-Ramanujan-type identities by proving an analytic counterpart of Gordon's celebrated partition theorem. In this talk I will describe how the Rogers-Ramanujan and Andrews-Gordon identities can be further generalised to a doubly-infinite series of Rogers-Ramanujan-type identities related to certain highest weight modules of the twisted affine Kac-Moody algebra A_2n^(2).