Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An involution based left ideal in the Hecke algebra   We define an imbedding of the Hecke algebra module carried by the involutions
in a Weyl group W (defined by the author and Vogan) into a completion of the
Hecke algebra. An analogous result is proved for any Coxeter group. A variant
of the construction gives an imbedding of the biregular representation of a
Hecke algebra of W in a completion of the Hecke algebra of W^2.

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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat