Closed categories, star-autonomy, and monoidal comonads

Craig Pastro; Ross Street

doi:10.1016/j.jalgebra.2008.05.004

Closed categories, star-autonomy, and monoidal comonads

Craig Pastro, Ross Street

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

6 Citations (Scopus)

Abstract

This paper determines what structure is needed for internal homs in a monoidal category C to be liftable to the category C^G of Eilenberg-Moore coalgebras for a monoidal comonad G on C. We apply this to lift *-autonomy with the view to recasting the definition of quantum groupoid.

Original language	English
Pages (from-to)	3494-3520
Number of pages	27
Journal	Journal of Algebra
Volume	321
Issue number	11
DOIs	https://doi.org/10.1016/j.jalgebra.2008.05.004
Publication status	Published - Jun 1 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2008.05.004

Cite this

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abstract = "This paper determines what structure is needed for internal homs in a monoidal category C to be liftable to the category CG of Eilenberg-Moore coalgebras for a monoidal comonad G on C. We apply this to lift *-autonomy with the view to recasting the definition of quantum groupoid.",

author = "Craig Pastro and Ross Street",

note = "Funding Information: * Corresponding author. E-mail addresses: craig@ics.mq.edu.au (C. Pastro), street@ics.mq.edu.au (R. Street). 1 The first author gratefully acknowledges support of an international Macquarie University Research Scholarship while the second gratefully acknowledges support of the Australian Research Council Discovery Grant DP0771252.",

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AB - This paper determines what structure is needed for internal homs in a monoidal category C to be liftable to the category CG of Eilenberg-Moore coalgebras for a monoidal comonad G on C. We apply this to lift *-autonomy with the view to recasting the definition of quantum groupoid.

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Closed categories, star-autonomy, and monoidal comonads

Abstract

All Science Journal Classification (ASJC) codes

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