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arXiv · 2404.01791

Combinatorial relations among relations of $C_{2}\sp{(1)}$-standard modules for higher levels

Tomislav Šikić
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Abstract

For an affine Lie algebra $\hat{\mathfrak g}$ the coefficients of certain vertex operators which annihilate level $k$ standard $\hat{\mathfrak g}$-modules are the defining relations for level $k$ standard modules. In the paper \cite{PS3} combinatorial structure of the leading terms of mentioned relations for level $k=2$ standard $\hat{\mathfrak g}$-modules and affine Lie algebras of type $C_{n}\sp{(1)}$ is given. The main result of this paper is a construction of combinatorially parameterized relations among relations of $C_{2}\sp{(1)}$-standard modules for all levels.

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Tomislav Šikić. 2024-04-02. Combinatorial relations among relations of $C_{2}\sp{(1)}$-standard modules for higher levels. https://arxiv.org/abs/2404.01791

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