Presentations of Principal Subspaces of Higher Level Standard $A_2^{(2)}$-Modules

Abstract

We study the principal subspaces of higher level standard $A_2^{(2)}$-modules, extending earlier work in the level one case, by Calinescu, Lepowsky, and Milas. We prove natural presentations of principal subspaces and also of certain related spaces.

19 pages, v2: added conjectures related to the Gollnitz-Gordon-Andrews identities