Weak Hopf monoids in braided monoidal categories

Craig Antonio Pastro, Ross Street

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We develop the theory of weak bimonoids in braided monoidal categories and show that they are in one-to-one correspondence with quantum categories with a separable Frobenius object-of-objects. Weak Hopf monoids are shown to be quantum groupoids. Each separable Frobenius monoid R leads to a weak Hopf monoid ⊗R.

Original languageEnglish
Pages (from-to)149-207
Number of pages59
JournalAlgebra and Number Theory
Volume3
Issue number2
DOIs
Publication statusPublished - Dec 1 2009

Fingerprint

Monoidal Category
Monoids
Frobenius
Monoid
Groupoids
One to one correspondence
Object

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Weak Hopf monoids in braided monoidal categories. / Pastro, Craig Antonio; Street, Ross.

In: Algebra and Number Theory, Vol. 3, No. 2, 01.12.2009, p. 149-207.

Research output: Contribution to journalArticle

Pastro, Craig Antonio ; Street, Ross. / Weak Hopf monoids in braided monoidal categories. In: Algebra and Number Theory. 2009 ; Vol. 3, No. 2. pp. 149-207.
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