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SUMMARY:On the Lie algebra structure of derivations on finite group algebr
 as - Markus Linckelmann\, City St. Georges London
DTSTART:20251126T163000Z
DTEND:20251126T173000Z
UID:TALK239869@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:Any associative algebra over a commutative ring gives rise to 
 a Lie \nalgebra obtained by considering derivations on the algebra. This t
 alk \nis about exploring the connections between the associative algebra \
 nstructure of finite group algebras and the corresponding Lie algebras \no
 f derivations. \nThe main motivation for pursuing these connections in fin
 ite group \nrepresentation theory is the fact that these Lie algebras have
  very \ngood invariance properties that may help with determining some \ni
 nvariants of the associative algebra structure\, such as the number \nof s
 imple modules. We present some of the broader context\, calculations \nfor
  specific classes of finite group algebras\, and some conjectures.
LOCATION:MR12
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