Closed algebras for higher rank, non-Abelian tensor gauge fields

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