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math.RT2011★ 3 cited
Global Weyl modules for the twisted loop algebra
Ghislain Fourier, Nathan Manning, Prasad Senesi
We define global Weyl modules for twisted loop algebras and analyze their high- est weight spaces, which are in fact isomorphic to Laurent polynomial rings in finitely many variabl…
math.RT2011
BGG reciprocity for current algebras
Matthew Bennett, Vyjayanthi Chari, Nathan Manning
We study the category $\cal I_{\gr}$ of graded representations with finite--dimensional graded pieces for the current algebra $\lie g\otimes\bc[t]$ where $\lie g$ is a simple Lie a…