38 research outputs found
Finite-dimensional representations of twisted hyper loop algebras
We investigate the category of finite-dimensional representations of twisted
hyper loop algebras, i.e., the hyperalgebras associated to twisted loop
algebras over finite-dimensional simple Lie algebras. The main results are the
classification of the irreducible modules, the definition of the universal
highest-weight modules, called the Weyl modules, and, under a certain mild
restriction on the characteristic of the ground field, a proof that the simple
modules and the Weyl modules for the twisted hyper loop algebras are isomorphic
to appropriate simple and Weyl modules for the non-twisted hyper loop algebras,
respectively, via restriction of the action
Incidental tracheal diverticulum discovered 30 years after tracheo-esophageal fistula repair
Tracheo-esophageal fistula is a well-described congenital abnormality treated surgically upon diagnosis. Although respiratory-related and reflux-related complications are frequent, recurrent fistula and diverticulum can occur. This case report describes the rare occurrence of a gross type B fistula repaired at birth, which was then asymptomatic for nearly 30 years until presentation with chest pain. Upon workup, the patient was found to have an isolated tracheal diverticulum without recurrent fistula. We highlight the need for a focused workup despite the length of time since fistula repair and the varied treatment modalities described in the literature