Spring, 2004
- Speaker Stefano Capparelli, University of Rome
- Title The affine algebra A22 and combinatorial identities
- Time/place Friday, 4/9/2004 3:00 pm
in Hill 705
- Abstract I will give a brief outline of the
Lepowsky-Wilson Z-algebra approach to classical combinatorial
identities and the Meurman-Primc proof of the generalized
Rogers-Ramanujan identities. I will next outline the application
of this theory to the construction of the level 3 standard modules
for the affine algebra A22 and the corresponding combinatorial
identities as well as Andrews' combinatorial proof of these
identities. I will discuss some current ideas for a possible
approach to these identities and their generalizations using
intertwining operators. Finally, I will mention the apparent link
between level 5 and 7 standard modules for the affine algebra A22
and some other Rogers-Ramanujan-type identities of Hirschhorn.
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