Some power series involving involutions in Coxeter groups. (Q2792389)

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scientific article; zbMATH DE number 6552874
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Some power series involving involutions in Coxeter groups.
scientific article; zbMATH DE number 6552874

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    9 March 2016
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    finitely generated Coxeter groups
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    Hecke algebras
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    involutions
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    Poincaré polynomials
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    Some power series involving involutions in Coxeter groups. (English)
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    Let \(W\) be an arbitrary Coxeter group. In this paper the author shows that a certain power series involving a sum over all involutions in \(W\) can be expressed in terms of the Poincaré series of \(W\). The case where \(W\) is finite was known earlier.
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