Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The freeness conjecture for Hecke algebras of complex reflection groups,
  and the case of the Hessian group G26   We review the state-of-the-art concerning the freeness conjecture stated in
the 1990's by Brou\'e, Malle and Rouquier for generic Hecke algebras associated
to complex reflection groups, and in particular we expose in detail one of the
main differences with the ordinary case, namely the lack of 0-Hecke algebras.
We end the paper by proving a new case of this conjecture, the exceptional
group called G26 in Shephard-Todd classification, namely the largest linear
group of automorphisms of the Hessian configuration.

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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph