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arXiv · 1603.04594

Bases of Feigin-Stoyanovsky's type subspaces for $C_\ell^{(1)}$

Ivana Baranović·Mirko Primc·Goran Trupčević
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Abstract

In this paper we construct combinatorial bases of Feigin-Stoyanovsky's type subspaces of standard modules for level $k$ affine Lie algebra $C_\ell^{(1)}$. We prove spanning by using annihilating field $x_\theta (z)^{k+1}$ of standard modules. In the proof of linear independence we use simple currents and intertwinining operators whose existence is given by fusion rules.

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Ivana Baranović, Mirko Primc, Goran Trupčević. 2016-03-15. Bases of Feigin-Stoyanovsky's type subspaces for $C_\ell^{(1)}$. https://arxiv.org/abs/1603.04594

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