Bases of Feigin–Stoyanovsky’s type subspaces for C ℓ ( 1 )

In this paper, we construct combinatorial bases of Feigin–Stoyanovsky’s type subspaces of standard modules for level k affine Lie algebra Cℓ(1). We prove spanning by using annihilating field xθ(z)k+1 of standard modules. In the proof of linear independence, we use simple currents and intertwining op...

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Veröffentlicht in:	The Ramanujan journal 2018-01, Vol.45 (1), p.265-289
Hauptverfasser:	Baranović, Ivana, Primc, Mirko, Trupčević, Goran
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial analysis Construction standards Extranets Intranets Lie groups Modules Operators (mathematics) Subspaces
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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 Cℓ(1). We prove spanning by using annihilating field xθ(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