The cohomology structure of an algebra entwined with a coalgebra

Details The cohomology structure of an algebra entwined with a coalgebra The cohomology structure of an algebra entwined with a coalgebra

1999-09-18

arxiv.org/abs/math/9909108v1

Mathematics

Rings and Algebras

LaTeX, 24 pages, uses Paul Taylor's diagrams.tex

Scientific paper

Two cochain complexes are constructed for an algebra A and a coalgebra C entwined with each other via the map $\psi:C\otimes A\to A\otimes C$. One complex is associated to an A-bimodule, the other to a C-bicomodule. In the former case the resulting complex can be considered as a $\psi$-twisted Hochschild complex of A, while for the latter one obtains a $\psi$-twist of the Cartier complex of C. The notion of a {\em weak comp algebra} is introduced by weakening the axioms of the Gerstenhaber comp algebra. It is shown that such a weak comp algebra is a cochain complex with two cup products that descend to the cohomology. It is also shown that the complexes associated to an entwining structure and A or C are examples of a weak comp algebra. Finally both complexes are combined in a double complex whose role in the deformation theory of entwining structures is outlined.

Affiliated with

Also associated with

No associations

Rating

The cohomology structure of an algebra entwined with a coalgebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The cohomology structure of an algebra entwined with a coalgebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The cohomology structure of an algebra entwined with a coalgebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349908