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.
On the Schur indices of GL(n,q)and SL(2n+1,q)
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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.