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

Published 22 May 2016 in math.QA | (1605.06766v1)

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 $k\geq 1$ of affine Lie algebra of type $G_2{(1)}$ by means of which we obtain the basis of principal subspace of generalized Verma module.

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