Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications
Abstract We introduce the notion of the Frobenius-Perron dimension of an integral ℤ + $\mathbb {Z}_{+}$ -ring and give some applications of this notion to classification of finite dimensional quasi-Hopf algebras with a unique nontrivial simple module, and of quasi-Hopf and Hopf...
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Netherlands
2021
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| Online Access: | https://hdl.handle.net/1721.1/131778 |
| _version_ | 1826201884618129408 |
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| author | Etingof, Pavel |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Etingof, Pavel |
| author_sort | Etingof, Pavel |
| collection | MIT |
| description | Abstract
We introduce the notion of the Frobenius-Perron dimension of an integral
ℤ
+
$\mathbb {Z}_{+}$
-ring and give some applications of this notion to classification of finite dimensional quasi-Hopf algebras with a unique nontrivial simple module, and of quasi-Hopf and Hopf algebras of prime dimension p. |
| first_indexed | 2024-09-23T11:58:44Z |
| format | Article |
| id | mit-1721.1/131778 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:58:44Z |
| publishDate | 2021 |
| publisher | Springer Netherlands |
| record_format | dspace |
| spelling | mit-1721.1/1317782023-02-24T17:08:15Z Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications Etingof, Pavel Massachusetts Institute of Technology. Department of Mathematics Abstract We introduce the notion of the Frobenius-Perron dimension of an integral ℤ + $\mathbb {Z}_{+}$ -ring and give some applications of this notion to classification of finite dimensional quasi-Hopf algebras with a unique nontrivial simple module, and of quasi-Hopf and Hopf algebras of prime dimension p. 2021-09-20T17:30:14Z 2021-09-20T17:30:14Z 2019-11-07 2020-09-24T20:37:53Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131778 en https://doi.org/10.1007/s10468-019-09924-1 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ Springer Nature B.V. application/pdf Springer Netherlands Springer Netherlands |
| spellingShingle | Etingof, Pavel Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications |
| title | Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications |
| title_full | Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications |
| title_fullStr | Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications |
| title_full_unstemmed | Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications |
| title_short | Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications |
| title_sort | frobenius perron dimensions of integral z mathbb z rings and applications |
| url | https://hdl.handle.net/1721.1/131778 |
| work_keys_str_mv | AT etingofpavel frobeniusperrondimensionsofintegralzmathbbzringsandapplications |