Generalized Coefficients for Hopf Cyclic Cohomology
A category of coefficients for Hopf cyclic cohomology is defined. It is shown that this category has two proper subcategories of which the smallest one is the known category of stable anti Yetter-Drinfeld modules. The middle subcategory is comprised of those coefficients which satisfy a generalized...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146601 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Generalized Coefficients for Hopf Cyclic Cohomology / M. Hassanzadeh, D. Kucerovsky, B. Rangipour // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 16 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862639929962528768 |
|---|---|
| author | Hassanzadeh, M. Kucerovsky, D. Rangipour, B. |
| author_facet | Hassanzadeh, M. Kucerovsky, D. Rangipour, B. |
| citation_txt | Generalized Coefficients for Hopf Cyclic Cohomology / M. Hassanzadeh, D. Kucerovsky, B. Rangipour // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A category of coefficients for Hopf cyclic cohomology is defined. It is shown that this category has two proper subcategories of which the smallest one is the known category of stable anti Yetter-Drinfeld modules. The middle subcategory is comprised of those coefficients which satisfy a generalized SAYD condition depending on both the Hopf algebra and the (co)algebra in question. Some examples are introduced to show that these three categories are different. It is shown that all components of Hopf cyclic cohomology work well with the new coefficients we have defined.
|
| first_indexed | 2025-12-01T02:21:22Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146601 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T02:21:22Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hassanzadeh, M. Kucerovsky, D. Rangipour, B. 2019-02-10T09:50:59Z 2019-02-10T09:50:59Z 2014 Generalized Coefficients for Hopf Cyclic Cohomology / M. Hassanzadeh, D. Kucerovsky, B. Rangipour // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 16 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 19D55; 16T05; 11M55 DOI:10.3842/SIGMA.2014.093 https://nasplib.isofts.kiev.ua/handle/123456789/146601 A category of coefficients for Hopf cyclic cohomology is defined. It is shown that this category has two proper subcategories of which the smallest one is the known category of stable anti Yetter-Drinfeld modules. The middle subcategory is comprised of those coefficients which satisfy a generalized SAYD condition depending on both the Hopf algebra and the (co)algebra in question. Some examples are introduced to show that these three categories are different. It is shown that all components of Hopf cyclic cohomology work well with the new coefficients we have defined. This paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html. The authors of the manuscript are thankful to the organizers of Focus Program on Noncommutative
 Geometry and Quantum Groups, which was held at Fields Institute June 3–28, 2013 for
 the invitation and the support. Special thanks to P.M. Hajac for his valuable comments and
 his unique attention to Hopf cyclic cohomology. Last but not least, we would like to thank the
 referees for their extremely helpful comments. This work is part of the project supported by the
 NCN grant 2011/01/B/ST1/06474 en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Generalized Coefficients for Hopf Cyclic Cohomology Article published earlier |
| spellingShingle | Generalized Coefficients for Hopf Cyclic Cohomology Hassanzadeh, M. Kucerovsky, D. Rangipour, B. |
| title | Generalized Coefficients for Hopf Cyclic Cohomology |
| title_full | Generalized Coefficients for Hopf Cyclic Cohomology |
| title_fullStr | Generalized Coefficients for Hopf Cyclic Cohomology |
| title_full_unstemmed | Generalized Coefficients for Hopf Cyclic Cohomology |
| title_short | Generalized Coefficients for Hopf Cyclic Cohomology |
| title_sort | generalized coefficients for hopf cyclic cohomology |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146601 |
| work_keys_str_mv | AT hassanzadehm generalizedcoefficientsforhopfcycliccohomology AT kucerovskyd generalizedcoefficientsforhopfcycliccohomology AT rangipourb generalizedcoefficientsforhopfcycliccohomology |