典型群的Joseph理想的唯一性
The Uniqueness of the Joseph Ideal for the Classical Groups
摘要:
Joseph理想是单李代数的泛包络代数中的一个特殊理想。对于典型群,它的唯一性等价于具有特殊性质的张量的存在性。这些张量的存在通常是抽象的结论,但在这里我们提出明确的公式。这允许相当直接地计算用于定义约瑟夫理想的参数。
英文摘要:
The Joseph ideal is a special ideal in the universal enveloping algebra of a simple Lie algebra. For the classical groups, its uniqueness is equivalent to the existence of tensors with special properties. The existence of these tensors is usually concluded abstractly but here we present explicit formulae. This allows a rather direct computation of a parameter used in defining the Joseph ideal.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。