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We define global Weyl modules for twisted loop algebras and analyze theirhigh- est weight spaces, which are in fact isomorphic to Laurent polynomialrings in finitely many variables. We are able to show that the global Weylmodule is a free module of finite rank over these rings. Furthermore we prove,that there exist injective maps from the global Weyl modules for twisted loopalgebras into a direct sum of global Weyl modules for untwisted loop algebras.Relations between local Weyl modules for twisted and untwisted generalizedcurrent algebras are known; we provide for the first time a relation on globalWeyl modules.

Global Weyl modules for the twisted loop algebra