扭超loop代数的二维表示
Finite-dimensional representations of twisted hyper loop algebras
摘要：
研究了扭超圈代数的有限维表示范畴，即，与有限维单李代数上的扭圈代数有关的超代数。主要结果是不可约模的分类，泛最高权模的定义，称之为Weyl模，并在对基域特征的适当限制下，证明了扭超loop代数的单模和Weyl模分别同构于非扭超loop代数的相应单模和Weyl模，通过限制行动。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
