Centre of an algebra

Alexei Davydov

doi:10.1016/j.aim.2010.02.018

Centre of an algebra

Alexei Davydov

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

Motivated by algebraic structures appearing in Rational Conformal Field Theory we study a construction associating to an algebra in a monoidal category a commutative algebra (full centre) in the monoidal centre of the monoidal category. We establish Morita invariance of this construction by extending it to module categories. As an example we treat the case of group-theoretical categories.

Original language	English
Pages (from-to)	319-348
Number of pages	30
Journal	Advances in Mathematics
Volume	225
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2010.02.018
Publication status	Published - 2010

Keywords

Monoidal categories
Module categories
Commutative algebras in braided monoidal categories

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10.1016/j.aim.2010.02.018

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abstract = "Motivated by algebraic structures appearing in Rational Conformal Field Theory we study a construction associating to an algebra in a monoidal category a commutative algebra (full centre) in the monoidal centre of the monoidal category. We establish Morita invariance of this construction by extending it to module categories. As an example we treat the case of group-theoretical categories.",

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AB - Motivated by algebraic structures appearing in Rational Conformal Field Theory we study a construction associating to an algebra in a monoidal category a commutative algebra (full centre) in the monoidal centre of the monoidal category. We establish Morita invariance of this construction by extending it to module categories. As an example we treat the case of group-theoretical categories.

KW - Monoidal categories

KW - Module categories

KW - Commutative algebras in braided monoidal categories

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DO - 10.1016/j.aim.2010.02.018

M3 - Article

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VL - 225

SP - 319

EP - 348

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 1

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Centre of an algebra

Abstract

Keywords

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