湖北民族学院学报（自然科学版）2016，Vol.34Issue(1)：24-28,5.DOI:10.13501/j.cnki.42-1569/n.2016.03.006
A 型扩张仿射李代数的极大子代数
Maximal Subalgebras of Extended Affine Lie Algebra of Type A
摘要
Abstract
Let T~ be the extended affine Lie algebra of type A1 and of nullity v with extended affine root system R(A1 ,S),which is constructed from a TKK Lie algebra T(J(S))obtained from the Jordan algebra J (S)by the so-called Tits-Kantor-Koecher construction,where S is the 〞smallest〞 semilattice in Euclid-ean space Rn .In this paper,we study maximal subalgebras of extended affine Lie algebra T~ and obtain four kinds of maximal subalgebras.关键词
扩张仿射李代数/TKK 代数/半格/极大子代数Key words
extended affine Lie algebra/TKK Lie algebra/semilattice/maximal subalgebra分类
数理科学引用本文复制引用
廖建玲,夏章生..A 型扩张仿射李代数的极大子代数[J].湖北民族学院学报（自然科学版）,2016,34(1):24-28,5.基金项目
国家自然科学基金项目（11126078，11571145）；湖北省教育厅科研项目 （）
