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Decomposition matrices for quasi-isolated blocks of exceptional groups

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GRA - Groups, representations and applications: new perspectives

Decomposition numbers encapsulate the relationship between ordinary and modular representations of finite groups. Determining decomposition matrices is a difficult problem, particularly for the finite groups of Lie type in non-defining characteristic. I will present some recent developments which allow us to consider tackling this problem for the quasi-isolated blocks of finite groups of Lie type in non-defining characteristic, and discuss some of the strategies and challenges involved in this project.




This talk is part of the Isaac Newton Institute Seminar Series series.

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