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Original scientific paper

Characters of Feigin-Stoyanovsky's type subspaces of level one modules for affine Lie algebras of types Al(1) and D4(1)

Goran Trupčević ; Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia


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Abstract

We use combinatorial description of bases of Feigin-Stoyanovsky's type subspaces of standard modules of level 1 for affine Lie algebras of types Al(1) and D4(1) to obtain character formulas. These descriptions naturally lead to systems of recurrence relations for which we also find solutions.

Keywords

Affine Lie algebras; principal subspaces; character formulas

Hrčak ID:

68876

URI

https://hrcak.srce.hr/68876

Publication date:

13.6.2011.

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