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Global Weyl Modules and Maximal Parabolics of Twisted Affine Lie Algebras
Abstract
In this paper I will first discuss the structure of non-standard maximal parabolics of twisted affine Lie algebras. Then I will define global Weyl modules in this setting and discuss the associated commutative associative algebra, $\bA_\lambda.$ These modules are an analog of Verma modules in the affine setting and were defined in 2001 by Chari and Pressley. Global Weyl modules have been studied in other settings such as twisted affine Lie algebras, \cite{CIK, FK, FMS} and non-standard maximal parabolics of untwisted affine Lie algebras, \cite{CKO}.