论文标题
汉密尔顿扩展仿射谎言代数及其代表理论
Hamiltonian Extended Affine Lie Algebras and its representation theory
论文作者
论文摘要
我们介绍了一类新的扩展仿射谎言代数，称为汉密尔顿扩展谎言代数（healas）。之所以之所以称呼它们，是因为相应的派生代数是古典哈密顿代数。我们根据对汉密尔顿代数的不可还原喷气模块的分类（零水平和非零水平的不可约合的射流模块分类）对HELA的不可约合模块进行了分类。
We introduce a new class of extended affine Lie algebras called Hamiltonian Extended Lie Algebras(HEALAs). They are so called because the corresponding derivation algebra is the classical Hamiltonian algebra. We classify the irreducible integrable modules for the HEALA based on the classification of irreducible Jet modules for the Hamiltonian algebra (both zero level and non-zero level.
