Seminar for Algebra

On Tuesday, April 23, 2024, 15:00 hours, Stefano Capparelli, Universita' La Sapienza, will hold lecture as part of Seminar for Algebra titled:

Level 5 representations of the affine Lie algebra A₂⁽²⁾

Abstract: This is joint work with M.Primc and A. Meurman. We conjecture some combinatorial identities that underlie the level 5 representations of the affine Lie algebra A₂⁽²⁾. In the line of research pioneered by Lepowsky-Milne, Lepowsky-Wilson and Lepowsky-Primc, we study the level 5 representations in the title. A combinatorial study of this affine algebra began with some success
for level 3 and only after several years for level 4 in work of D. Nandi (Rutgers 2014). We now believe to have an answer for level 5 and, with a lot of optimism, for some more odd levels. Preliminary report.
 

Lecture will be held in lecture room A101, Department of Mathematics.