Weak bialgebras of fractions
Event details
| Date | 22.02.2013 |
| Hour | 14:15 › 15:30 |
| Speaker | Steve Bennoun (UBC) |
| Location |
MA 10
|
| Category | Conferences - Seminars |
The notions of weak bialgebra and weak Hopf algebra were introduced by Böhm, Nill and Szlachanyi as generalizations of the well-known notions of bialgebra and Hopf algebra. One important result about weak bialgebras is that any fusion category is equivalent to a category of modules over a weak Hopf algebra.
In this presentation I will start by defining weak bialgebras and weak Hopf algebras. I will then briefly present some examples and basic properties. Next, generalizing results of Hayashi for bialgebras, I will explain under which hypotheses one can construct the weak bialgebra of fractions of a given weak bialgebra. I will moreover discuss the relationship between the weak bialgebra of fractions and the weak Hopf envelope.
In this presentation I will start by defining weak bialgebras and weak Hopf algebras. I will then briefly present some examples and basic properties. Next, generalizing results of Hayashi for bialgebras, I will explain under which hypotheses one can construct the weak bialgebra of fractions of a given weak bialgebra. I will moreover discuss the relationship between the weak bialgebra of fractions and the weak Hopf envelope.
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Practical information
- Informed public
- Free
Organizer
- Kathryn Hess Bellwald