Abstract
In this note we explain, in terms of finite dimensional representations of Lie algebras \(\mathfrak {sp}_{2\ell }\subset \mathfrak {sl}_{2\ell }\), a combinatorial coincidence of difference conditions in two constructions of combinatorial bases for standard representations of symplectic affine Lie algebras.
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Acknowledgements
This work 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 (KK.01.1.1.01.0004).
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Primc, M. (2019). Some Combinatorial Coincidences for Standard Representations of Affine Lie Algebras. In: Adamović, D., Papi, P. (eds) Affine, Vertex and W-algebras. Springer INdAM Series, vol 37. Springer, Cham. https://doi.org/10.1007/978-3-030-32906-8_9
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