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| Title: | On higher Frobenius-Schur indicators |
| Authors: | Kashina, Yevgenia Sommerhaeuser, Yorck Zhu, Yongchang |
| Keywords: | Rings and algebras Quantum algebra Representation theory |
| Issue Date: | 2006 |
| Citation: | Mem. Am. Math. Soc., Vol. 181, No. 855, Am. Math. Soc., Providence, 2006 |
| Abstract: | We study the higher Frobenius-Schur indicators of modules over semisimple Hopf algebras, and relate them to other invariants as the exponent, the order, and the index. We prove various divisibility and integrality results for these invariants. In particular, we prove a version of Cauchy's theorem for semisimple Hopf algebras. Furthermore, we give some examples that illustrate the general theory. |
| Rights: | First published in Memoirs of the American Mathematical Society in no. 855, published by the American Mathematical Society |
| URI: | http://hdl.handle.net/1783.1/3137 |
| Appears in Collections: | MATH Preprints
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| 0311199v2[1].pdf | pre-published version | 489Kb | Adobe PDF | View/Open |
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