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⁾

2018/03/18 by Butorac, Marijana, Sadowski, Christopher
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1803.06733

Abstract

We construct combinatorial bases of principal subspaces of standard modules of level k ≥ 1 with highest weight kΛ₀ for the twisted affine Lie algebras of type A_2l-1⁽²⁾, D_l⁽²⁾, E₆⁽²⁾ and D₄⁽³⁾. Using these bases we directly calculate characters of principal subspaces.

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