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

Kocik, Jerzy

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.

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