2000 character limit reached
Lepowsky's and Wakimoto's product formulas for the affine Lie algebras $C_l^{(1)}$ (2403.05456v1)
Published 8 Mar 2024 in math.RT, math-ph, math.CO, math.MP, and math.QA
Abstract: In this paper, we recall Lepowsky's and Wakimoto's product character formulas formulated in a new way by using arrays of specialized weighted crystals of negative roots for affine Lie algebras of type $C_l{(1)}$, $D_{l+1}{(2)}$ and $A_{2l}{(2)}$. Lepowsky-Wakimoto's infinite periodic products appear as one side of (conjectured) Rogers-Ramanujan-type combinatorial identities for affine Lie algebras of type $C_l{(1)}$.
Collections
Sign up for free to add this paper to one or more collections.