Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a question of Rickard on tensor product of stably equivalent algebras   Let $\overline\F\_p$ be the algebraic closure of the prime field of
characteristic $p$. After observing that the principal block $B$ of
$\overline\F\_pPSU(3,p^r)$ 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 $p^r\in\{3,4,5,8\}$. As a
consequence, the algebra $B\otimes\_{\overline{\F}\_p}\overline \F\_p[X]/X^p$
is not stably equivalent of Morita type to
$b\otimes\_{\overline\F\_p}\overline\F\_p[X]/X^p$ in these cases. This yields a
negative answer to a question of Rickard.

14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg