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arxiv: 1506.08792 · v1 · pith:5SFR5VLWnew · submitted 2015-06-29 · 🧮 math.RT

Bases for the Global Weyl modules of mathfrak{sl}_n of highest weight mω₁

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keywords baseshighestmathfrakweightglobalmodulesomegaotimes
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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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