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On the Lie algebra structure of derivations on finite group algebras

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  • UserMarkus Linckelmann, City St. Georges London
  • ClockWednesday 26 November 2025, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Adam Jones .

Any associative algebra over a commutative ring gives rise to a Lie algebra obtained by considering derivations on the algebra. This talk is about exploring the connections between the associative algebra structure of finite group algebras and the corresponding Lie algebras of derivations. The main motivation for pursuing these connections in finite group representation theory is the fact that these Lie algebras have very good invariance properties that may help with determining some invariants of the associative algebra structure, such as the number of simple modules. We present some of the broader context, calculations for specific classes of finite group algebras, and some conjectures.

This talk is part of the Algebra and Representation Theory Seminar series.

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