Quasi-particle bases of principal subspaces of the affine Lie algebra of type $G_2^{(1)}$

Abstract

The aim of this work is to construct the quasi-particle basis of principal subspace of standard module of highest weight $k{\Lambda }_0$ of level $k\ge 1$ of affine Lie algebra of type $G_2^{(1)}$ by means of which we obtain the basis of principal subspace of generalized Verma module.

to appear in Glasnik Matematicki

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Cited by in corpus (1)

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