# Leading terms of relations for standard modules of the affine Lie algebras

Authors: Mirko Primc, Tomislav Šikić

pp 1–35.

https://doi.org/10.1007/s11139-018-0052-5

Abstract: In this paper, we give a combinatorial parametrization of leading terms of defining relations for the vacuum level  standard modules for the affine Lie algebra of type . Using this parametrization, we conjecture colored Rogers–Ramanujan type combinatorial identities for  and ; the identity in the case  is equivalent to one of Capparelli’s identities.