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The 5-modular Character Table of the Lyons Group

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GRAW02 - Computational and algorithmic methods

We will talk about the determination of the 5-modular character table of the sporadic simple Lyons group Ly. This table was computed jointly with Alexander Ryba, Queens College, CUNY , New York. As a starting point of our computations we will take the 111-dimensional representation over the field with 5 elements, conjectured to exist by Meyer, Neutsch and constructed by Meyer, Neutsch, and Parker. An important ingredient in our computations will be the interplay between modular character theory and the theory of condensation of representations, in particular condensations of tensor products and symmetrizations.

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

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