University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Hopf algebras and duality

Hopf algebras and duality

Add to your list(s) Download to your calendar using vCal

  • UserAstrid Jahn (University of Glasgow)
  • ClockFriday 16 March 2012, 14:00-15:00
  • HouseMR13.

If you have a question about this talk, please contact Jonathan Nelson.

Hopf algebras are a type of algebra whose structure naturally gives them a great deal of symmetry. One of the consequences of this is that in the finite-dimensional case, the dual of a Hopf algebra also has a canonical Hopf algebra structure. In the infinite-dimensional case this breaks down, and a subalgebra of the dual called the finite dual is usually considered instead. However, examples show that the finite dual lacks many of the properties we would like it to satisfy. I look at whether there is a better alternative for the specific class of Hopf algebras I am interested in, namely those satisfying the Artin-Schelter Gorenstein condition. I also look at some of the known results in the finite-dimensional case that involve the dual, particularly Radford’s formula for the fourth power of the antipode, and possible extensions to infinite-dimensional Hopf algebras.

This talk is part of the Junior Algebra/Logic/Number Theory seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity