论文标题
有限维数模块的非皮比奇狄拉克操作员
Noncubic Dirac operators for finite dimensional modules
论文作者
论文摘要
我们研究了附着在有限维模块上的非皮基迪拉克操作员内核中的分解。我们将这种分解与Kostant的Cutic Dirac操作员的功能进行了比较。特别是，我们表明，非皮基狄拉克运算符的内核不必包含完整的同种型组件。详细研究了经典和特殊的复杂谎言代数的案例。作为副产品，我们推断出有关非皮基几何狄拉克操作员内核的一些信息，该零件作用于Slebarski研究的紧凑型歧管上。
We study the decomposition into irreducibles of the kernel of noncubic Dirac operators attached to finite-dimensional modules. We compare this decomposition with features of Kostant's cubic Dirac operator. In particular, we show that the kernel of noncubic Dirac operators need not contain full isotypic components. The cases of classical and exceptional complex Lie algebras are studied in detail. As a by-product, we deduce some information on the kernel of noncubic geometric Dirac operators acting on sections over compact manifolds studied by Slebarski.
