Bases of Feigin–Stoyanovsky’s type subspaces for $$C_\ell ^{(1)}$$ C ℓ ( 1 )
| Autor: | Goran Trupčević, Ivana Baranović, Mirko Primc |
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| Rok vydání: | 2016 |
| Předmět: |
Algebra and Number Theory
010102 general mathematics Field (mathematics) Type (model theory) 01 natural sciences Affine Lie algebra Linear subspace Combinatorics Number theory Simple (abstract algebra) Mathematics::Quantum Algebra 0103 physical sciences Fusion rules 010307 mathematical physics Linear independence 0101 mathematics Mathematics |
| Zdroj: | The Ramanujan Journal. 45:265-289 |
| ISSN: | 1572-9303 1382-4090 |
| DOI: | 10.1007/s11139-016-9840-y |
| Popis: | 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 intertwining operators whose existence is given by fusion rules. |
| Databáze: | OpenAIRE |
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