Hopf -Crossed Biproduct and Related Coquasitriangular Structures
Tianshui Ma
Henan Normal University, Xinxiang, ChinaYanan Song
Henan Normal University, Xinxiang, China
![Hopf $\pi$-Crossed Biproduct and Related Coquasitriangular Structures cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rsmup-volume-130.png&w=3840&q=90)
Abstract
Let be a group and a Hopf -coalgebra (not nec essarily associative), . Let be an algebra and a coalgebra. We find the necessary and sufficient conditions on the -crossed product with suitable comultiplication and counit to be a Hopf -coalgebra. Moreover, the necessary and sufficient conditions for a Hopf -crossed product to be a coquasitriangular Hopf -coalgebra are given. In this case the category of the left -comodules over is a braided monoidal category.
Cite this article
Tianshui Ma, Yanan Song, Hopf -Crossed Biproduct and Related Coquasitriangular Structures. Rend. Sem. Mat. Univ. Padova 130 (2013), pp. 127–145
DOI 10.4171/RSMUP/130-3