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arxiv: 1808.02869 · v1 · pith:J5T4NLK7new · submitted 2018-08-08 · 🧮 math.RT

Perfect Isometries Between Blocks of Complex Reflection Groups

classification 🧮 math.RT
keywords blockscomplexgroupsreflectiondividinggivenintegersisometric
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In this paper, we prove that, given any integers $d$, $e$, $r$ and $r'$, and a prime $p$ not dividing $de$, any two blocks of the complex reflection groups $G(de,e,r)$ and $G(de,e,r')$ with the same $p$-weight are perfectly isometric.

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