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 construct ed from a known pair (R,Z), and a series of realizations of the quanti zed 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 alg ebras and their transformation properties under the braided coactions of the quantized braided group A(R,Z) are considered. Some examples ar e presented. (C) 1997 American Institute of Physics.