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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| Format: | Article |
| Idioma: | English |
| Publicat: |
Springer Netherlands
2021
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| Accés en línia: | https://hdl.handle.net/1721.1/131778 |
| Sumari: | 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. |
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