Hilbert–Poincaré series

id: hilbert-poincar-series-268-6304313
title: Hilbert–Poincaré series
text: In mathematics, and in particular in the field of algebra, a Hilbert–Poincaré series, named after David Hilbert and Henri Poincaré, is an adaptation of the notion of dimension to the context of graded algebraic structures. It is a formal power series in one indeterminate, say t , where the coefficient of t n gives the dimension of the sub-structure of elements homogeneous of degree n . It is closely related to the Hilbert polynomial in cases when the latter exists; however, the Hilbert–Poincaré
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original url: https://en.wikipedia.org/wiki/Hilbert%E2%80%93Poincar%C3%A9_series
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date modified: 2023-05-08T01:06:17Z
main entity: {"identifier":"Q5761255","url":"https://www.wikidata.org/entity/Q5761255"}
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integrity: 13

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