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SUMMARY:Split extensions of bialgebras -  Tim Van der Linden (Université 
 catholique de Louvain)
DTSTART:20170228T141500Z
DTEND:20170228T151500Z
UID:TALK70941@talks.cam.ac.uk
CONTACT:Tamara von Glehn
DESCRIPTION:We discuss a universal characterisation of Hopf algebras among
  cocommutative bialgebras over an algebraically closed field: a cocommutat
 ive bialgebra is a Hopf algebra precisely when every split extension over 
 it admits a join decomposition. We also explain why this result cannot be 
 extended to a non-cocommutative setting. This is joint work with Xabier Ga
 rcía Martínez.
LOCATION:MR5\, Centre for Mathematical Sciences
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