Explicit combinatorial formulas depending only on q are given for the Wedderburn decomposition of Q[SL2(q)] and Q[PSL2(q)], including counts of simple modules by dimension.
The rational group algebra of a normally monomial group
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Wedderburn decomposition of the rational group algebras of $\operatorname{SL}_2(q)$ and $\operatorname{PSL}_2(q)$
Explicit combinatorial formulas depending only on q are given for the Wedderburn decomposition of Q[SL2(q)] and Q[PSL2(q)], including counts of simple modules by dimension.