Drinfeld doubles of the n-rank Taft algebras and a generalization of the Jones polynomial

In the paper, we describe Drinfel'd double structure of $n$-rank Taft algebra and all its simple modules, then endow $R$-matrices with some application to knot invariants. The invariants get is a generalization Jones polynomial, in particular, it recovers polynomial rank $1$ case, while $2$ one-parameter specialization two-parameter unframed Dubrovnik higher case composite ($n$-power) polynomial.