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Communications in Algebra Volume 46, 2018 - Issue 8
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Original Articles

Bases of standard modules for affine Lie algebras of type

Goran TrupčevićFaculty of Teacher Education, University of Zagreb, Zagreb, CroatiaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-0129-6432
ORCID Icon
Pages 3663-3673 | Received 25 Jul 2017, Published online: 08 Feb 2018
 
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ABSTRACT

Feigin-Stoyanovsky’s type subspaces for affine Lie algebras of type Cℓ(1) have monomial bases with a nice combinatorial description. We describe bases of whole standard modules in terms of semi-infinite monomials obtained as “a limit of translations” of bases for Feigin-Stoyanovsky’s type subspaces.

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