Irreducible Characters for Algebraic Groups in Characteristic Three

Mathematics – Representation Theory

Scientific paper

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Scientific paper

In this note, we determine the irreducible characters for the simple
algebraic groups of type $A_5$ over an algebraically closed field $K$ of
characteristic 3, by using a theorem of Xi Nanhua and the Matlab software. In
order to obtain higher speed than in Jiachen et al we modify the algorithm to
compute the irreducible characters.

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