Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra A⁽²⁾₂

2020/06/04 by Takigiku, Motoki, Tsuchioka, Shunsuke · 1 citation
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2006.02630

Abstract

We give Andrews-Gordon type series for the principal characters of the level 5 and 7 standard modules of the affine Lie algebra A⁽²⁾₂. We also give conjectural series for some level 2 modules of A⁽²⁾₁₃.

Cited by

• Leading terms of relations on a level 5 module over the twisted affine Lie algebra A₂⁽²⁾

Related

• On q-series for principal characters of standard A₂⁽²⁾-modules
• Leading terms of relations for standard modules of affine Lie algebras C_n\sp(1)
• Combinatorial relations among relations of C₂\sp(1)-standard modules for higher levels
• An example of A₂ Rogers-Ramanujan bipartition identities of level 3
• 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⁾