Preskoči na sadržaj
Moj profil Upisi

izvorni znanstveni rad · 2018

Presentations of Feigin-Stoyanovsky’s type subspaces of standard modules for affine Lie algebras of type C_l^(1)

Goran Trupčević

Sažetak

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.

Ključne riječi

affine Lie algebras principal subspaces generators and relations