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SUMMARY:Hopf algebras and duality - Astrid Jahn (University of Glasgow)
DTSTART:20120316T140000Z
DTEND:20120316T150000Z
UID:TALK36222@talks.cam.ac.uk
CONTACT:Jonathan Nelson
DESCRIPTION:Hopf algebras are a type of algebra whose structure naturally 
 gives them a great deal of symmetry. One of the consequences of this is th
 at in the finite-dimensional case\, the dual of a Hopf algebra also has a 
 canonical Hopf algebra structure. In the infinite-dimensional case this br
 eaks down\, and a subalgebra of the dual called the finite dual is usually
  considered instead. However\, examples show that the finite dual lacks ma
 ny 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 inter
 ested 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 powe
 r of the antipode\, and possible extensions to infinite-dimensional Hopf a
 lgebras.
LOCATION:MR13
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