For the affine Lie algebra A(2)2l, global Weyl modules are filtered by Demazure slices, the character of a Demazure slice is a nonsymmetric Macdonald-Koornwinder polynomial divided by its norm, and global Weyl modules for the special current algebra are free over their endomorphism ring.
Weyl modules for the twisted loop algebras
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Demazure slices of type $A_{2l}^{(2)}$
For the affine Lie algebra A(2)2l, global Weyl modules are filtered by Demazure slices, the character of a Demazure slice is a nonsymmetric Macdonald-Koornwinder polynomial divided by its norm, and global Weyl modules for the special current algebra are free over their endomorphism ring.