%0 Journal Article
%T Deformation of tensor product (co)algebras via non-(co)normal twists
%A Lucio S. Cirio
%A Chiara Pagani
%J Mathematics
%D 2011
%I arXiv
%X We study new coalgebra structures on the tensor product of two coalgebras $C$ and $D$ by twisting the tensor product coalgebra via a twist map $\Psi: C \otimes D \rightarrow D \otimes C$. We deal with the general case in which the counit of the tensor product coalgebra is deformed as well. Some classes of such deformations are analyzed and a notion of equivalence of twists is discussed. We also present the dual deformation of tensor product algebras and provide examples.
%U http://arxiv.org/abs/1112.2992v1