A systematic method is presented for the construction and classification of algebras of gauge transformations for arbitrary high rank tensor gauge fields. For any tensor gauge field of a given rank, the gauge transformation will be stated, in a generic way, via an ansatz that contains all the possible terms, with arbitrary coefficients and the maximum number of tensor gauge functions. Although the requirement for the closure of the algebra will prove to be restrictive, a variety of legitimate choices remains. Adjusting properly the values of the initial coefficients and imposing restrictions on the gauge functions, one can, on the one hand, recover the so far analysed algebras and on the other, construct new ones. The presentation of a new algebra for tensor gauge transformations is the central result of this article.

提出了一种用于任意高阶张量规范场的规范变换代数的构建和分类的系统方法。对于给定等级的任何张量规范场，规范转换将通过ansatz以一般方式表示包含所有可能的项，具有任意系数和张量规功能的最大数量。尽管关闭代数的要求将被证明是限制性的，但仍然存在各种合理的选择。适当地调整初始系数的值并对量规函数施加限制，一方面可以恢复到目前为止已分析的代数，另一方面可以构造新的代数。张量规变换的新代数的呈现是本文的主要结果。