Bases for the Global Weyl modules of ${\mathfrak{sl}}_n$ of highest weight $m{\omega }_1$

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.

References in corpus (1)

• Multi-dimensional Weyl Modules and Symmetric Functions