Lax braidings and the lax centre

Brian Day; Elango Panchadcharam; Ross Street

doi:10.1090/conm/441

Lax braidings and the lax centre

Brian Day^*, Elango Panchadcharam, Ross Street

^*Corresponding author for this work

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

Abstract

The purpose of this work is to highlight the notions of lax braiding and lax centre for monoidal categories and more generally for promonoidal categories. Lax centres are lax braided. Generally the centre is a full subcategory of the lax centre, however we show that it is sometimes the case that the two coincide. We identify lax centres of monoidal functor categories in various cases.

Original language	English
Title of host publication	Hopf algebras and generalizations
Subtitle of host publication	AMS special session on Hopf algebras at the crossroads of algebra, category theory, and topology
Editors	Louis H. Kauffman, Louis H. Radford, Fernando J.0. Souza
Place of Publication	Providence, RI
Publisher	AMER MATHEMATICAL SOC
Pages	1-17
Number of pages	17
Volume	441
ISBN (Print)	9780821838204
DOIs	https://doi.org/10.1090/conm/441
Publication status	Published - 2007
Event	AMS Special Meeting on Hopf Algebras at the Crossroads of Algebra, Category Theory, and Topology - Evanston, Israel Duration: 23 Oct 2004 → 24 Oct 2004

Publication series

Name	CONTEMPORARY MATHEMATICS SERIES
Publisher	AMER MATHEMATICAL SOC
Volume	441
ISSN (Print)	0271-4132

Conference

Conference	AMS Special Meeting on Hopf Algebras at the Crossroads of Algebra, Category Theory, and Topology
Country/Territory	Israel
City	Evanston
Period	23/10/04 → 24/10/04

Keywords

monoidal category
braiding
centre
Hopf algebra
convolution tensor product
TENSOR CATEGORIES
REPRESENTATIONS

Access to Document

10.1090/conm/441

Cite this

Day, B., Panchadcharam, E., & Street, R. (2007). Lax braidings and the lax centre. In L. H. Kauffman, L. H. Radford, & F. J. . Souza (Eds.), Hopf algebras and generalizations: AMS special session on Hopf algebras at the crossroads of algebra, category theory, and topology (Vol. 441, pp. 1-17). (CONTEMPORARY MATHEMATICS SERIES; Vol. 441). AMER MATHEMATICAL SOC. https://doi.org/10.1090/conm/441

Day, Brian ; Panchadcharam, Elango ; Street, Ross. / Lax braidings and the lax centre. Hopf algebras and generalizations: AMS special session on Hopf algebras at the crossroads of algebra, category theory, and topology. editor / Louis H. Kauffman ; Louis H. Radford ; Fernando J.0. Souza. Vol. 441 Providence, RI : AMER MATHEMATICAL SOC, 2007. pp. 1-17 (CONTEMPORARY MATHEMATICS SERIES).

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abstract = "The purpose of this work is to highlight the notions of lax braiding and lax centre for monoidal categories and more generally for promonoidal categories. Lax centres are lax braided. Generally the centre is a full subcategory of the lax centre, however we show that it is sometimes the case that the two coincide. We identify lax centres of monoidal functor categories in various cases.",

keywords = "monoidal category, braiding, centre, Hopf algebra, convolution tensor product, TENSOR CATEGORIES, REPRESENTATIONS",

author = "Brian Day and Elango Panchadcharam and Ross Street",

year = "2007",

doi = "10.1090/conm/441",

language = "English",

isbn = "9780821838204",

volume = "441",

series = "CONTEMPORARY MATHEMATICS SERIES",

publisher = "AMER MATHEMATICAL SOC",

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editor = "Kauffman, {Louis H.} and Radford, {Louis H.} and Souza, {Fernando J.0.}",

booktitle = "Hopf algebras and generalizations",

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Day, B, Panchadcharam, E & Street, R 2007, Lax braidings and the lax centre. in LH Kauffman, LH Radford & FJ Souza (eds), Hopf algebras and generalizations: AMS special session on Hopf algebras at the crossroads of algebra, category theory, and topology. vol. 441, CONTEMPORARY MATHEMATICS SERIES, vol. 441, AMER MATHEMATICAL SOC, Providence, RI, pp. 1-17, AMS Special Meeting on Hopf Algebras at the Crossroads of Algebra, Category Theory, and Topology, Evanston, Israel, 23/10/04. https://doi.org/10.1090/conm/441

Lax braidings and the lax centre. / Day, Brian; Panchadcharam, Elango; Street, Ross.
Hopf algebras and generalizations: AMS special session on Hopf algebras at the crossroads of algebra, category theory, and topology. ed. / Louis H. Kauffman; Louis H. Radford; Fernando J.0. Souza. Vol. 441 Providence, RI: AMER MATHEMATICAL SOC, 2007. p. 1-17 (CONTEMPORARY MATHEMATICS SERIES; Vol. 441).

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

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KW - braiding

KW - centre

KW - Hopf algebra

KW - convolution tensor product

KW - TENSOR CATEGORIES

KW - REPRESENTATIONS

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DO - 10.1090/conm/441

M3 - Conference proceeding contribution

SN - 9780821838204

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A2 - Radford, Louis H.

A2 - Souza, Fernando J.0.

PB - AMER MATHEMATICAL SOC

CY - Providence, RI

T2 - AMS Special Meeting on Hopf Algebras at the Crossroads of Algebra, Category Theory, and Topology

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ER -

Lax braidings and the lax centre

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Keywords

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