Leading terms of relations for standard modules of affine Lie algebras $C_{n}\sp{(1)}$

Abstract

In this paper we give a combinatorial parametrization of leading terms of defining relations for level $k$ standard modules for affine Lie algebra of type $C_{n}\sp{(1)}$. Using this parametrization we conjecture colored Rogers-Ramanujan type combinatorial identities for $n\ge 2$ and $k\ge 2$; the identity in the case $n=k=1$ is equivalent to one of Capparelli's identities.

29 pages, 1 figure

References in corpus (1)

• The A_{2n}^{(2)} Rogers-Ramanujan identities

Cited by in corpus (2)

• Bases of Feigin-Stoyanovsky's type subspaces for $C_{\ell }^{(1)}$
• Combinatorial bases of basic modules for $C_{n}\sp{(1)}$