Spring, 2004

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.