Hopf algebraic methods in finite tensor categories: Characters and integrals

Kenichi Shimizu

doi:10.1090/conm/771/15516

Hopf algebraic methods in finite tensor categories: Characters and integrals

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper reviews the character theory and the integral theory for Hopf algebras extended to finite tensor categories, as well as recent techniques for finite abelian categories and finite tensor categories. Some applications to fusion categories are also given.

Original language	English
Title of host publication	Hopf Algebras, Tensor Categories and Related Topics
Editors	Nicolás Andruskiewitsch, Gongxiang Liu, Susan Montgomery, Yinhuo Zhang
Publisher	American Mathematical Society
Pages	267-308
Number of pages	42
ISBN (Print)	9781470456245
DOIs	https://doi.org/10.1090/conm/771/15516
Publication status	Published - 2021
Event	International Workshop on Hopf Algebras and Tensor Categories, 2019 - Nanjing, China Duration: 2019 Sept 9 → 2019 Sept 13

Publication series

Name	Contemporary Mathematics
Volume	771
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

Conference

Conference	International Workshop on Hopf Algebras and Tensor Categories, 2019
Country/Territory	China
City	Nanjing
Period	19/9/9 → 19/9/13

ASJC Scopus subject areas

Mathematics(all)

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10.1090/conm/771/15516

Cite this

Hopf algebraic methods in finite tensor categories : Characters and integrals. / Shimizu, Kenichi.

Hopf Algebras, Tensor Categories and Related Topics. ed. / Nicolás Andruskiewitsch; Gongxiang Liu; Susan Montgomery; Yinhuo Zhang. American Mathematical Society, 2021. p. 267-308 (Contemporary Mathematics; Vol. 771).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Shimizu, K 2021, Hopf algebraic methods in finite tensor categories: Characters and integrals. in N Andruskiewitsch, G Liu, S Montgomery & Y Zhang (eds), Hopf Algebras, Tensor Categories and Related Topics. Contemporary Mathematics, vol. 771, American Mathematical Society, pp. 267-308, International Workshop on Hopf Algebras and Tensor Categories, 2019, Nanjing, China, 19/9/9. https://doi.org/10.1090/conm/771/15516

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title = "Hopf algebraic methods in finite tensor categories: Characters and integrals",

abstract = "This paper reviews the character theory and the integral theory for Hopf algebras extended to finite tensor categories, as well as recent techniques for finite abelian categories and finite tensor categories. Some applications to fusion categories are also given.",

author = "Kenichi Shimizu",

note = "Funding Information: The author was supported by JSPS KAKENHI Grant Number 16K17568. Publisher Copyright: {\textcopyright} 2021 American Mathematical Society.; International Workshop on Hopf Algebras and Tensor Categories, 2019 ; Conference date: 09-09-2019 Through 13-09-2019",

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Hopf algebraic methods in finite tensor categories: Characters and integrals

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