Deformation bicomplex of module-algebras

Mathematics – Algebraic Topology

Scientific paper

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To appear in Homology, Homotopy and Applications

Scientific paper

The deformation bicomplex of a module-algebra over a bialgebra is
constructed. It is then applied to study algebraic deformations in which both
the module structure and the algebra structure are deformed. The cases of
module-coalgebras, comodule-(co)algebras, and (co)module-bialgebras are also
considered.

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