Mathematics – Rings and Algebras
Scientific paper
2011-12-13
Mathematics
Rings and Algebras
25 pages, no figures
Scientific paper
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.
Cirio Lucio S.
Pagani Chiara
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