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- Title
Vertex-algebraic structure of principal subspaces of standard A<sub>2</sub><sup>(2)</sup>-modules, I.
- Authors
Calinescu, C.; Lepowsky, J.; Milas, A.
- Abstract
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 A2(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.
- Subjects
VERTEX operator algebras; SUBSPACES (Mathematics); MODULES (Algebra); KAC-Moody algebras; LIE algebras; AFFINE algebraic groups
- Publication
International Journal of Mathematics, 2014, Vol 25, Issue 7, p1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X14500633