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Global Weyl Modules for Twisted and Untwisted Loop Algebras

  • Author(s): Manning, Nathaniael
  • Advisor(s): Chari, Vyjayanthi
  • et al.
Abstract

A family of modules called global Weyl modules has recently been defined over generalized loop algebras. Part I of this dissertation contains a characterization the homomorphisms between these global Weyl modules, under certain restrictions. The crucial tool in this section is the reconstruction of the fundamental global Weyl module from a local one. In Part II, global Weyl modules are defined for loop algebras which have been twisted by a graph automorphism of the Dynkin diagram. We analyze their relationship with the twisted local Weyl module and with the the untwisted global Weyl module.

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