On Higher Frobenius-Schur Indicators
环与代数
2007-05-23 v2 量子代数
表示论
摘要
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.
引用
@article{arxiv.math/0311199,
title = {On Higher Frobenius-Schur Indicators},
author = {Yevgenia Kashina and Yorck Sommerhaeuser and Yongchang Zhu},
journal= {arXiv preprint arXiv:math/0311199},
year = {2007}
}
备注
62 pages. Important new result added, remark by P. Etingof included, mistake in last section corrected. See also http://www.mathematik.uni-muenchen.de/~sommerh