Frobenius-Schur indicator for categories with duality

研究成果: Article査読

抄録

We introduce the Frobenius-Schur indicator for categories with duality to give a category-theoretical understanding of various generalizations of the Frobenius-Schur theorem including that for semisimple quasi-Hopf algebras, weak Hopf C*-algebras and association schemes. Our framework also clarifies a mechanism of how the "twisted" theory arises from the ordinary case. As a demonstration, we establish twisted versions of the Frobenius-Schur theorem for various algebraic objects. We also give several applications to the quantum SL2.

本文言語English
ページ(範囲)324-364
ページ数41
ジャーナルAxioms
1
3
DOI
出版ステータスPublished - 2012 12 1
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 代数と数論
  • 数理物理学
  • 論理
  • 幾何学とトポロジー

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