Higher Braidings of Diagonal Type
Heckenberger introduced the Weyl groupoid of a finite-dimensional Nichols algebra of diagonal type. We replace the matrix of its braiding by a higher tensor and present a construction which yields further Weyl groupoids. Abelian cohomology theory gives evidence for the existence of a higher braiding...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2023 |
| ISSN: | 1815-0659 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211865 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Higher Braidings of Diagonal Type. Michael Cuntz and Tobias Ohrmann. SIGMA 19 (2023), 019, 23 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862580438275457024 |
|---|---|
| author | Cuntz, Michael Ohrmann, Tobias |
| author_facet | Cuntz, Michael Ohrmann, Tobias |
| citation_txt | Higher Braidings of Diagonal Type. Michael Cuntz and Tobias Ohrmann. SIGMA 19 (2023), 019, 23 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Heckenberger introduced the Weyl groupoid of a finite-dimensional Nichols algebra of diagonal type. We replace the matrix of its braiding by a higher tensor and present a construction which yields further Weyl groupoids. Abelian cohomology theory gives evidence for the existence of a higher braiding associated with such a tensor.
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| first_indexed | 2026-03-13T17:13:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211865 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T17:13:10Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Cuntz, Michael Ohrmann, Tobias 2026-01-14T09:52:49Z 2023 Higher Braidings of Diagonal Type. Michael Cuntz and Tobias Ohrmann. SIGMA 19 (2023), 019, 23 pages 1815-0659 2020 Mathematics Subject Classification: 17B22; 16T30; 20F55 arXiv:2204.05720 https://nasplib.isofts.kiev.ua/handle/123456789/211865 https://doi.org/10.3842/SIGMA.2023.019 Heckenberger introduced the Weyl groupoid of a finite-dimensional Nichols algebra of diagonal type. We replace the matrix of its braiding by a higher tensor and present a construction which yields further Weyl groupoids. Abelian cohomology theory gives evidence for the existence of a higher braiding associated with such a tensor. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Higher Braidings of Diagonal Type Article published earlier |
| spellingShingle | Higher Braidings of Diagonal Type Cuntz, Michael Ohrmann, Tobias |
| title | Higher Braidings of Diagonal Type |
| title_full | Higher Braidings of Diagonal Type |
| title_fullStr | Higher Braidings of Diagonal Type |
| title_full_unstemmed | Higher Braidings of Diagonal Type |
| title_short | Higher Braidings of Diagonal Type |
| title_sort | higher braidings of diagonal type |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211865 |
| work_keys_str_mv | AT cuntzmichael higherbraidingsofdiagonaltype AT ohrmanntobias higherbraidingsofdiagonaltype |