Article ID Journal Published Year Pages File Type
4596307 Journal of Pure and Applied Algebra 2014 24 Pages PDF
Abstract

We consider principal subspaces WL(kΛ0) and WN(kΛ0) of standard module L(kΛ0) and generalized Verma module N(kΛ0) at level k≥1 for the affine Lie algebra of type . By using the theory of vertex operator algebras, we find combinatorial bases of principal subspaces in terms of quasi-particles. From quasi-particle bases, we obtain character formulas for WL(kΛ0) and WN(kΛ0).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory