Glasnik matematički, Vol. 53 No. 1, 2018.
Original scientific paper
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
Abstract
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 \(W(Λ)≃ U(g_1^-)/J\).
Keywords
Affine Lie algebras; principal subspaces; generators and relations
Hrčak ID:
201826
URI
Publication date:
20.6.2018.
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