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Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications

Author(s)
Etingof, Pavel
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Abstract
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.
Date issued
2019-11-07
URI
https://hdl.handle.net/1721.1/131778
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer Netherlands

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