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math.RT2012
Frobenius-Schur theorem for -categories
Kenichi Shimizu
We generalize the Frobenius-Schur theorem to -categories. From this category-theoretical point of view, we introduce the notions of real, complex and quaternionic representati…
math.RT2012★ 2 cited
Frobenius-Schur indicator for categories with duality
Kenichi Shimizu
We introduce the Frobenius-Schur indicator for categories with duality to give a category-theoretical understanding of various generalizations of the Frobenius-Schur theorem, inclu…
math.RT2011★ 1 cited
On indicators of Hopf algebras
Kenichi Shimizu
Kashina, Montgomery and Ng introduced the -th indicator of a finite-dimensional Hopf algebra and showed that the indicators have some interesting properties such as…