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arXiv · 1506.08792

Bases for the Global Weyl modules of $\mathfrak{sl}_n$ of highest weight $m\omega_1$

Samuel Chamberlin·Amanda Croan
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Abstract

We utilize a theorem of B. Feigin and S. Loktev to give explicit bases for the global Weyl modules for the map algebras of the form $\mathfrak{sl}_n\otimes A$ of highest weight $m\omega_1$. These bases are given in terms of specific elements of the universal enveloping algebra, $\mathbf{U}(\mathfrak{sl}_n\otimes A)$, acting on the highest weight vector.

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BibTeXRIS

Samuel Chamberlin, Amanda Croan. 2015-06-29. Bases for the Global Weyl modules of $\mathfrak{sl}_n$ of highest weight $m\omega_1$. https://doi.org/10.2140/involve.2017.10.573

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