We study finite-dimensional graded modules for hyperalgebras of twisted current algebras. In particular, we prove that local graded Weyl modules are isomorphic to the corresponding level one Demazure modules, and, moreover, that they are restrictions of corresponding local graded Weyl modules for the hyperalgebra of the untwisted current algebra.

中文翻译：

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扭曲电流代数超代数的Demazure和Weyl模

我们研究扭曲当前代数的超代数的有限维梯度模块。特别地，我们证明了局部渐变的Weyl模与相应的一级Demazure模是同构的，而且，它们是对相应的局部渐变的Weyl模的限制，适用于当前未加捻的代数的超代数。