Iterated bar complexes and Eₙ-homology with coefficients

الأصل · EN

The first author proved in a previous paper that the n-fold bar construction for commutative algebras can be generalized to Eₙ-algebras, and that one can calculate Eₙ-homology with trivial coefficients via this iterated bar construction. We extend this result to Eₙ-homology and Eₙ-cohomology of a commutative algebra A with coefficients in a symmetric A-bimodule.