摘要
量子环面代数或者量子双仿射代数是量子N-环面李代数在N=2的特殊情形,是环面李代数和N-环面李代数之间的关系之推广.本文将构造G_(2)型量子N-环面代数水平1的顶点算子表示,该构造可以看作是G_(2)型量子仿射代数的顶点算子表示之推广.
Quantum toroidal algebras or double affine quantum algebras are special cases(N=2)of the recently defined quantum N-toroidal algebras,which generalize the toroidal Lie algebras and N-toroidal Lie algebras.In this paper,we will construct a level one representation of the quantum N-toroidal algebra for the exceptional type G_(2),which can be regarded as a generalization of the basic representation of the quantum affine algebra in type G_(2).
作者
李秋雨
景乃桓
Qiu Yu LI;Nai Huan JING(Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China;Department of Mathematics,North Carolina State University,Raleigh,NC27695,USA)
出处
《数学学报（中文版）》
CSCD
北大核心
2023年第5期927-938,共12页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(12171303)
Simons基金资助项目(523868)。
