Bases of Feigin-Stoyanovsky's type subspaces for $C_\ell^{(1)}
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 cu...
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| creator | Baranović, Ivana Primc, Mirko Trupčević, Goran |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.1603.04594 |
| format | Article |
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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
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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
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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.</abstract><doi>10.48550/arxiv.1603.04594</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Quantum Algebra |
| title | Bases of Feigin-Stoyanovsky's type subspaces for $C_\ell^{(1)} |
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