2024-03-29T11:06:01Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00002614
2022-12-14T04:38:51Z
310:311
ON LOCAL COEFFICIENTS OF SIMPLICIAL COALGEBRAS
Tanaka, Kohei
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)
journal article
KYUSHU UNIV, FAC MATHEMATICS
2013-09
application/pdf
KYUSHU JOURNAL OF MATHEMATICS
2
67
419
427
1340-6116
AA10994346
https://soar-ir.repo.nii.ac.jp/record/2614/files/ON_LOCAL_COEFFICIENTS.pdf
eng
10.2206/kyushujm.67.419
https://doi.org/10.2206/kyushujm.67.419
© 2013 Faculty of Mathematics, Kyushu University