论文标题
Capelli身份的双重证明
A bijection proof of the Capelli's identity
论文作者
论文摘要
在本文中，给出了Capelli身份的简短组合证明。这也可以简单地证明Capelli-cauchy-binet身份，这是Capelli身份的更一般形式。通过引入该技术，可以通过标志的总和证明Turnbull的身份。在文章的最后，将普通的开莉身份讨论为Capelli身份的双重版本。
In this article, a short combinatorial proof of the Capelli's identity is given. It also leads to an easy proof of the Capelli--Cauchy--Binet identity, a more general form of Capelli's identity. With the technique introduced, the Turnbull's identity can be proven by sum with signs. At the end of the article, the general Cayley identity is discussed as a dual version of Capelli's identity.
