Izvorni znanstveni članak

https://doi.org/10.3336/gm.53.1.08

Presentations of Feigin-Stoyanovsky's type subspaces of standard modules for affine Lie algebras of type \(C_l^{(1)}\)

Goran Trupčević ; Faculty of Teacher Education, University of Zagreb, 10000 Zagreb, Croatia

Sažetak

Feigin-Stoyanovsky's type subspace \(W(Λ)\) of a standard g-module \(L(Λ)\) is a \(g_1\)-submodule of \(L(Λ)\) generated by the highest-weight vector \(v_Λ\), where \(g_1\) is a certain commutative subalgebra of \(g\). Based on the description of basis of \(W(Λ)\) for of type \(C_l^{(1)}\), we give a presentation of this subspace in terms of generators and relations \(W(Λ)≃ U(g_1^-)/J\).

Ključne riječi

Affine Lie algebras; principal subspaces; generators and relations

Hrčak ID:

201826

URI

https://hrcak.srce.hr/201826

Datum izdavanja:

20.6.2018.

Posjeta: 1.198 *