Skip to main content
eScholarship
Open Access Publications from the University of California

UC Riverside

UC Riverside Electronic Theses and Dissertations bannerUC Riverside

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.

Main Content
For improved accessibility of PDF content, download the file to your device.
Current View