Rank 4 Nichols Algebras of Pale Braidings
We classify finite GK-dimensional Nichols algebras ℬ() of rank 4 such that arises as a Yetter-Drinfeld module over an abelian group, but it is not a direct sum of points and blocks.
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2023 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2023
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211922 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Rank 4 Nichols Algebras of Pale Braidings. Nicolás Andruskiewitsch, Iván Angiono and Matías Moya Giusti. SIGMA 19 (2023), 021, 41 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862546197140471808 |
|---|---|
| author | Andruskiewitsch, Nicolás Angiono, Iván Moya Giusti, Matías |
| author_facet | Andruskiewitsch, Nicolás Angiono, Iván Moya Giusti, Matías |
| citation_txt | Rank 4 Nichols Algebras of Pale Braidings. Nicolás Andruskiewitsch, Iván Angiono and Matías Moya Giusti. SIGMA 19 (2023), 021, 41 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We classify finite GK-dimensional Nichols algebras ℬ() of rank 4 such that arises as a Yetter-Drinfeld module over an abelian group, but it is not a direct sum of points and blocks.
|
| first_indexed | 2026-03-13T00:30:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211922 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T00:30:40Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Andruskiewitsch, Nicolás Angiono, Iván Moya Giusti, Matías 2026-01-16T11:20:40Z 2023 Rank 4 Nichols Algebras of Pale Braidings. Nicolás Andruskiewitsch, Iván Angiono and Matías Moya Giusti. SIGMA 19 (2023), 021, 41 pages 1815-0659 2020 Mathematics Subject Classification: 16T05 arXiv:2108.02608 https://nasplib.isofts.kiev.ua/handle/123456789/211922 https://doi.org/10.3842/SIGMA.2023.021 We classify finite GK-dimensional Nichols algebras ℬ() of rank 4 such that arises as a Yetter-Drinfeld module over an abelian group, but it is not a direct sum of points and blocks. This material isbased upon work supported by the National Science Foundation under Grant No. DMS-1440140 while N.A. was inresidence at the Mathematical Sciences Research Institute in Berkeley, California, in the Spring 2020 semester. The work of N.A. and I.A. was partially supported by CONICET (PIP 11220200102916CO), FONCyT-ANPCyT (PICT-2019-03660), and Secyt (UNC). The work of M.M. was carried out while he was in residency at the I.H.E.S (2018), University Paris-Est Marne-la-Vallée (2018/2019), and University of Lille (2019/2020). We thank the referees for a careful reading of this article and for many useful remarks. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Rank 4 Nichols Algebras of Pale Braidings Article published earlier |
| spellingShingle | Rank 4 Nichols Algebras of Pale Braidings Andruskiewitsch, Nicolás Angiono, Iván Moya Giusti, Matías |
| title | Rank 4 Nichols Algebras of Pale Braidings |
| title_full | Rank 4 Nichols Algebras of Pale Braidings |
| title_fullStr | Rank 4 Nichols Algebras of Pale Braidings |
| title_full_unstemmed | Rank 4 Nichols Algebras of Pale Braidings |
| title_short | Rank 4 Nichols Algebras of Pale Braidings |
| title_sort | rank 4 nichols algebras of pale braidings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211922 |
| work_keys_str_mv | AT andruskiewitschnicolas rank4nicholsalgebrasofpalebraidings AT angionoivan rank4nicholsalgebrasofpalebraidings AT moyagiustimatias rank4nicholsalgebrasofpalebraidings |