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HIMR-sponsored algebra seminar - Markus Linckelmann

Dates:1 April 2025
Times:14:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
Speaker:Markus Linckelmann
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Algebra"
  • By Department of Mathematics

Title: On the Lie algebra structure of derivations on finite group algebras

Abstract: Any associative algebra over a commutative ring gives rise to a Lie algebra obtained by considering derivations on the algebra. This talk, based on joint work with Jialin Wang, 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 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.

Speaker

Markus Linckelmann

Organisation: City, University of London

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Frank Adams 1
Alan Turing Building
Manchester

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Simon Crawford

simon.crawford@manchester.ac.uk

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