Quantized braided linear algebras relating to quantized braided groups

An R-matrix pair (R,Z) solving a system of Yang-Baxter-type equations is needed to define a quantized braided (matrix) group [L. Hlavaty, J. Math. Phys. 35, 2560 (1994)]. It is found that a series of such kind of R-matrix pairs (R-(n),Z) (n = 0, +/- 1, +/- 2,...) can be constructed from a known pair (R,Z), and a series of realizations of the quantized braided (matrix) bialgebras A(R-(n)),Z) in V(R(n+1)) (x) under bar V*(R-(n) can be obtained. Some covariant quantized braided linear algebras and their transformation properties under the braided coactions of the quantized braided group A(R,Z) are considered. Some examples are presented. (C) 1997 American Institute of Physics.