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arxiv: 1605.06766 · v1 · pith:7ATHPY2Ynew · submitted 2016-05-22 · 🧮 math.QA

Quasi-particle bases of principal subspaces of the affine Lie algebra of type G₂⁽¹⁾

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keywords principalaffinealgebrabasismodulequasi-particlesubspacetype
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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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