Quasi-particle bases of principal subspaces for the affine Lie algebras of types $B_l^{(1)}$ and $C_l^{(1)}$

Abstract

Generalizing our earlier work, we construct quasi-particle bases of principal subspaces of standard module $L_{X_l^{(1)}}(k{\Lambda }_0)$ and generalized Verma module $N_{X_l^{(1)}}(k{\Lambda }_0)$ at level $k\ge 1$ 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.

arXiv admin note: text overlap with arXiv:1212.5920

References in corpus (1)

• Intertwining vertex operators and certain representations of sl(n)^

Cited by in corpus (1)

• Principal subspaces for the affine Lie algebras in types $D$, $E$ and $F$