Presentations of Feigin-Stoyanovsky’s type subspaces of standard modules for affine Lie algebras of type C_l^(1) (CROSBI ID 246898)
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Trupčević, Goran
engleski
Presentations of Feigin-Stoyanovsky’s type subspaces of standard modules for affine Lie algebras of type C_l^(1)
Feigin-Stoyanovsky's type subspace W(\Lambda) of a standard \tilde{; ; ; g}; ; ; -module L(\Lambda) is a \tilde{; ; ; g}; ; ; _1- submodule of L(\Lambda) generated by the highest-weight vector v_\Lambda, where \tilde{; ; ; g}; ; ; _1 is a certain commutative subalgebra of \tilde{; ; ; g}; ; ; . Based on the description of basis of W(\Lambda) for \tilde{; ; ; g}; ; ; $ of type C_l^(1), we give a presentation of this subspace in terms of generators and relations W(\Lambda)\simeq U(\tilde{; ; ; g}; ; ; _1^-)/J.
affine Lie algebras ; principal subspaces ; generators and relations
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