Level two standard \(D_{I+1}^{(2)}\)-modules
Affine Kac-Moody algebras and their representations are of great interest for their surprising connections with other branches of mathematics and mathematical physics. In particular, the realization of standard modules (= integrable highest weight modules) is one of the most important problems in this area. In this paper, the author gives an explicit construction of all level two standard modules over the affine Kac-Moody algebras of type \(D_{l+1}^{(2)}\) based on the theory of \(Z\)-algebras introduced by \textit{J. Lepowsky} and \textit{R. Wilson} [Invent. Math. 77, 199-290 (1984; Zbl 0577.17009)].
scientific article; zbMATH DE number 614248