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Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras

  • Marijana ButoracEmail author
Chapter
First Online:
Part of the Springer INdAM Series book series (SINDAMS, volume 37)

Abstract

This note is a survey of recent results on the construction of combinatorial bases of principal subspaces of generalized Verma module \(N(k\Lambda _0)\) and standard module \(L(k\Lambda _0)\) appearing in [5, 6, 7]. By using these bases, we obtain characters of principal subspaces.

Keywords

Affine Lie algebras Vertex operator algebras Principal subspaces Combinatorial bases 
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Notes

Acknowledgements

The author is partially supported by the Croatian Science Foundation under the project 2634 and by the QuantiXLie Centre of Excellence, a project cofinanced by the Croatian Government and European Union through the European Regional Development Fund—the Competitiveness and Cohesion Operational Programme (Grant KK.01.1.1.01.0004).

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Authors and Affiliations

  1. 1.Department of MathematicsUniversity of RijekaRijekaCroatia

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