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Generalized Demazure Modules for the Twisted Current Algebra $^2\tilde{A}_{2l-1}$
- Wagner, Joseph Page
- Advisor(s): Chari, Vyjayanthi
Abstract
In this thesis, I study certain generalized Demazure modules for a twisted current algebra of type $^2\tilde{A}_{2\ell-1}$; that is, the fixed point subalgebra under an order 2 graph \newline automorphism defined on an untwisted affine Lie algebra of type $\tilde{A}_{2\ell-1}$. In particular, I give a presentation of a family of generalized Demazure modules which can be realized as a submodule of the tensor product of two level one Demazure modules. I also show that, in certain cases, this type of generalized Demazure module is in fact isomorphic to a level two Demazure module.
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