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.
Rational group algebras of finite groups: from idem- potents to units of integral group rings
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Authors derive combinatorial descriptions for the number of inequivalent irreducible rational representations of GL_2(q) by degree and an explicit q-dependent formula for the Wedderburn decomposition of its rational group algebra.
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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.
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On rational representations and rational group algebra of $\operatorname{GL}_2(q)$
Authors derive combinatorial descriptions for the number of inequivalent irreducible rational representations of GL_2(q) by degree and an explicit q-dependent formula for the Wedderburn decomposition of its rational group algebra.