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

2016/05/22 by Butorac, Marijana
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1605.06766

Abstract

The aim of this work is to construct the quasi-particle basis of principal subspace of standard module of highest weight kΛ₀ of level k≥ 1 of affine Lie algebra of type G₂⁽¹⁾ by means of which we obtain the basis of principal subspace of generalized Verma module.

Related

• Quasi-particle bases of principal subspaces for the affine Lie algebras of types B_l⁽¹⁾ and C_l⁽¹⁾
• Combinatorial bases of principal subspaces for affine Lie algebra of type B₂^(1)
• A note on principal subspaces of the affine Lie algebras in types\n B_l⁽¹⁾, C_l⁽¹⁾, F₄⁽¹⁾ and G₂⁽¹⁾
• Combinatorial constructions of modules for infinite-dimensional Lie algebras, I. Principal subspace
• Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type A_2l-1⁽²⁾, D_l⁽²⁾, E₆⁽²⁾ and D₄⁽³⁾