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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 Presentations of Feigin-Stoyanovsky’s type subspaces of standard modules for affine Lie algebras of type C_l^(1) // Glasnik matematički, 53 (2018), 1; 115-121. doi: 10.3336/gm.53.1.08

Podaci o odgovornosti

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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Podaci o izdanju

53 (1)

2018.

115-121

objavljeno

0017-095X

1846-7989

10.3336/gm.53.1.08

Povezanost rada

Matematika

Poveznice
Indeksiranost