Bases of standard modules for affine Lie algebras of type C_ℓ⁽¹⁾

2017/06/30 by Trupčević, Goran
#05A19 #FOS: Mathematics #Primary 17B67 #Quantum Algebra (math.QA) #Secondary 17B69

paper · doi:10.48550/arxiv.1706.10089

Abstract

Feigin-Stoyanovsky's type subspaces for affine Lie algebras of type C_ℓ⁽¹⁾ have monomial bases with a nice combinatorial description. We describe bases of whole standard modules in terms of semi-infinite monomials obtained as "a limit of translations" of bases for Feigin-Stoyanovsky's type subspaces.

Related

• Combinatorial bases of modules for affine Lie algebra B₂^(1)
• Bases of Feigin-Stoyanovsky's type subspaces for C_ℓ⁽¹⁾
• Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard \gsl(ℓ+1,\C)-modules
• Presentations of Feigin-Stoyanovsky's type subspaces of standard modules for affine Lie algebras of type C_ℓ⁽¹⁾
• Characters of Feigin-Stoyanovsky's type subspaces of level one modules for affine Lie algebras of types A_ℓ⁽¹⁾ and D₄⁽¹⁾