Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications
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10468_2019_9924_ReferencePDF.pdf
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397.21 KB
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53b552f2521bde356c7626f55ec439e9
Author(s)
Etingof, Pavel
Date Issued
November 7, 2019
Publisher
Springer Netherlands
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s10468-019-09924-1
