Quasi-particle bases of principal subspaces for the affine Lie algebras of types $B_l^{; ; ; (1)}; ; ; $ and $C_l^{; ; ; (1)}; ; ; $ (CROSBI ID 229586)
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Butorac, Marijana
engleski
Quasi-particle bases of principal subspaces for the affine Lie algebras of types $B_l^{; ; ; (1)}; ; ; $ and $C_l^{; ; ; (1)}; ; ; $
Generalizing our earlier work, we construct quasi-particle bases of principal subspaces of standard module $L_{; ; ; X_l^{; ; ; (1)}; ; ; }; ; ; (kΛ_0)$ and generalized Verma module $N_{; ; ; X_l^{; ; ; (1)}; ; ; }; ; ; (kΛ_0)$ at level $k≥ 1$ in the case of affine Lie algebras of types $B_l^{; ; ; (1)}; ; ; $ and $C_l^{; ; ; (1)}; ; ; $. As a consequence, from quasi-particle bases, we obtain the graded dimensions of these subspaces.
Affine Lie algebras ; vertex operator algebras ; principal subspaces ; quasi-particle bases
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