On a Question of Rickard on Tensor Product of Stably Equivalent Algebras
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چکیده
Let Fp be the algebraic closure of the prime field of characteristic p. After observing that the principal block B of FpPSU(3, p) is stably equivalent of Morita type to its Brauer correspondent b, we show however that the centre of B is not isomorphic as an algebra to the centre of b in the cases p ∈ {3, 4, 5, 8}. As a consequence, the algebra B ⊗Fp Fp[X]/X p is not stably equivalent of Morita type to b⊗Fp Fp[X]/X p in these cases. This yields a negative answer to a question of Rickard.
منابع مشابه
On a Question of Rickard on Tensor Products of Stably Equivalent Algebras
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تاریخ انتشار 2015