Articles by Isaac Konan

A round trip from crystal bases to integer partitions

-- Isaac Konan (IRIF, Université Paris Diderot)

The representation theory of Lie algebras occurs as a rich source of partition identities. This started with Lepowsky and Wilson's proof of Rogers-Ramanujan identities via the representation of level 3 standard module for the affine type \(A_1^(1)\). A good example of an identity generator is the \((KMN)^2 ...