Weak Hopf monoids in braided monoidal categories | Macquarie University ResearchOnline

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Title: Weak Hopf monoids in braided monoidal categories
Related: Algebra and number theory, Vol. 3, No. 2, (2009), p.149-207
DOI: 10.2140/ant.2009.3.149
Publisher: Mathematical Sciences Publishers
Date: 2009
FoR/RFCD Code(s): 010100 Pure Mathematics
Author/Creator: Pastro, Craig
Author/Creator: Street, Ross
Description: 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⊗R.
Description: 59 page(s)
Subject Keyword: 010100 Pure Mathematics
Subject Keyword: weak bimonoids (weak bialgebra)
Subject Keyword: weak Hopf monoids (weak Hopf algebra)
Subject Keyword: quantum category
Subject Keyword: quantum groupoid
Subject Keyword: monoidal category
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

Macquarie University ResearchOnline