Presentations of principal subspaces of higher level standard \(A_2^{(2)}\)-modules (Q2288141)

This paper extends previous work by Calinescu, Lepowsky, and Milas to the principal subspaces of higher level standard \(A_2^{(2)}\)-modules. They introduce new spaces that they call \textit{virtual subspaces} generalizing the principal subspace and they give a presentation of these. They also have a conjecture about a specialized character of the principal subspace.