Partial actions and representations, cohomology and globalization
Partial actions and partial representations, cohomology and applications
Partial actions, Galois cohomology and seven term exact sequences
| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
[2] Univ Fed Santa Catarina, Dept Matemat, Campus Reitor Joao David Ferreira Lima, BR-88040900 Florianopolis, SC - Brazil
[3] Univ Murcia, Dept Matemat, Murcia 30071 - Spain
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 374, n. 3, p. 1863-1898, MAR 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the relations between partial and global group cohomology with values in a commutative unital ring A. In particular, for a unital partial action of a group G on A, such that A is a direct product of commutative indecomposable rings, we show that any partial n-cocycle of G with values in A is globalizable. (AU) | |
| FAPESP's process: | 15/09162-9 - Non commutative algebra and applications |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 12/01554-7 - Partial actions and representations, cohomology and globalization |
| Grantee: | Mykola Khrypchenko |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |