engleski

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 C_l^(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.

Affine Lie algebras ; Combinatorial bases ; Principal subspace ; Intertwining operators ; Simple current

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