@article{oai:soar-ir.repo.nii.ac.jp:00002614, author = {Tanaka, Kohei}, issue = {2}, journal = {KYUSHU JOURNAL OF MATHEMATICS}, month = {Sep}, note = {This paper generalizes the notion of local coefficients and fundamental groups of spaces to simplicial coalgebras. We define a Hopf algebra pi(1) (C) from a simplicial coalgebra C as a generalization of a fundamental group, and show that a module over pi(1) (C) corresponds to a local coefficient of C. As a consequence, the Hoschild cohomology of a Hopf algebra H with a coefficient M coincides with the cohomology of the nerve simplicial coalgebra of H with the local coefficient M-* associated with M., Article, KYUSHU JOURNAL OF MATHEMATICS. 67(2):419-427 (2013)}, pages = {419--427}, title = {ON LOCAL COEFFICIENTS OF SIMPLICIAL COALGEBRAS}, volume = {67}, year = {2013} }