论文标题
谎言代数和分级Hecke代数的符号狄拉克操作员
Symplectic Dirac operators for Lie algebras and graded Hecke algebras
论文作者
论文摘要
我们在表示理论中与代数正交狄拉克运算符相比的代数设置中定义了一对符号狄拉克运算符$（d^+，d^ - ）$。我们在$ \ mathbb z/2 $的设置中工作，二级二次谎言代数$ \ mathfrak g = \ mathfrak k+\ mathfrak p $和分级的affine hecke hecke代数$ \ mathbb h $。
We define a pair of symplectic Dirac operators $(D^+,D^-)$ in an algebraic setting motivated by the analogy with the algebraic orthogonal Dirac operators in representation theory. We work in the settings of $\mathbb Z/2$-graded quadratic Lie algebras $\mathfrak g=\mathfrak k+\mathfrak p$ and of graded affine Hecke algebras $\mathbb H$.
