Bases of Feigin–Stoyanovsky’s type subspaces for Cℓ(1)
In this paper, we construct combinatorial bases of Feigin–Stoyanovsky’s type subspaces of standard modules for level k affine Lie algebra C ℓ ( 1 ) . We prove spanning by using annihilating field x θ ( z ) k + 1 of standard modules. In the proof of linear independence, we use simple currents and int...
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| Veröffentlicht in: | The Ramanujan journal 2018, Vol.45 (1), p.265-289 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we construct combinatorial bases of Feigin–Stoyanovsky’s type subspaces of standard modules for level
k
affine Lie algebra
C
ℓ
(
1
)
. We prove spanning by using annihilating field
x
θ
(
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. |
|---|---|
| ISSN: | 1382-4090 1572-9303 |
| DOI: | 10.1007/s11139-016-9840-y |