Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A counter-example to Martino's conjecture about generic Calogero-Moser
  families   The Calogero-Moser families are partitions of the irreducible characters of a
complex reflection group derived from the block structure of the corresponding
restricted rational Cherednik algebra. It was conjectured by Martino in 2009
that the generic Calogero-Moser families coincide with the generic Rouquier
families, which are derived from the corresponding Hecke algebra. This
conjecture is already proven for the whole infinite series G(m,p,n) and for the
exceptional group G4. A combination of theoretical facts with explicit
computations enables us to determine the generic Calogero-Moser families for
the nine exceptional groups G4, G5, G6, G8, G10, G23=H3, G24, G25, and G26. We
show that the conjecture holds for all these groups - except surprisingly for
the group G25, thus being the first and only-known counter-example so far.

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph