论文标题
迹线,对称功能和升高的操作员
Traces, symmetric functions, and a raising operator
论文作者
论文摘要
基本对称函数(库奇列出公式)之间的多项式关系是通过``升高操作员''和fock太空结构提出的。提出了这种关系的简单图形证明。新操作员扩展了海森伯格代数的范围。拓扑字段理论。
The polynomial relationship between elementary symmetric functions (Cauchy enumeration formula) is formulated via a ``raising operator" and Fock space construction. A simple graphical proof of this relation is proposed. The new operator extends the Heisenberg algebra so that the number operator becomes a Lie product. This study is motivated by natural appearance of these polynomials in the theory of invariants for Lax equations and in classical and topological field theories.