Abstract Corresponding to R-smash products of associative algebras, a kind of Poisson structure construction for relative semiclassical limits is constructed. Going a step further, Poisson structures with a kind of braiding of tensor products are given, which contain the results of Poisson polynomial extensions and double Poisson-Ore extensions.
Received: 07 April 2017
Published: 01 December 2018
WANG Xin, SHEN Yuan. Poisson structures of tensor algebras with braidings. Applied Mathematics A Journal of Chinese Universities, 2017, 32(4): 379-387.
