Original scientific paper

https://doi.org/10.3336/gm.51.1.05

Quasi-particle bases of principal subspaces for the affine Lie algebras of types Bl(1) and Cl(1)

Marijana Butorac ; Department of Mathematics, University of Rijeka, Radmile Matejčić 2, 51 000 Rijeka, Croatia

Abstract

Generalizing our earlier work, we construct quasi-particle bases of principal subspaces of standard module LXl(1)(kΛ0) and generalized Verma module NXl(1)(kΛ0) at level k≥ 1 in the case of affine Lie algebras of types Bl(1) and Cl(1). As a consequence, from quasi-particle bases, we obtain the graded dimensions of these subspaces.

Keywords

Affine Lie algebras; vertex operator algebras; principal subspaces; quasi-particle bases

Hrčak ID:

160104

URI

https://hrcak.srce.hr/160104

Publication date:

15.6.2016.

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