Extending earlier work of the authors, this is the first in a series of papers devoted to the vertex-algebraic structure of principal subspaces of standard modules for twisted affine Kac-Moody algebras. In this part, we develop the necessary theory of principal subspaces for the affine Lie algebra A 2(2), which we expect can be extended to higher rank algebras. As a "test case", we consider the principal subspace of the basic A2(2)-module and explore its structure in depth.
All Science Journal Classification (ASJC) codes
- Twisted affine Lie algebras
- presentation of principal subspace
- twisted vertex-algebra modules