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In this paper, we study local graded Weyl modules and Demazure modules fortwisted hypercurrent algebras. We prove that local graded Weyl modules for atwisted hypercurrent algebra are isomorphic to the corresponding level 1Demazure modules, and moreover, that they are restrictions of correspondinglocal graded Weyl modules for the untwisted hypercurrent algebra.

Demazure and local Weyl modules for twisted hyper current algebras