Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials

Israel Gelfand; Sergei Gelfand; Vladimir Retakh; Shirlei Serconek; Robert Lee Wilson

doi:10.1016/S0021-8693(02)00081-9

Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials

Israel Gelfand, Sergei Gelfand, Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

The quadratic algebras Q_n are associated with pseudo-roots of noncommutative polynomials. We compute the Hilbert series of the algebras Q_n, and of the dual algebras Q_n^!.

Original language	English (US)
Pages (from-to)	279-299
Number of pages	21
Journal	Journal of Algebra
Volume	254
Issue number	2
DOIs	https://doi.org/10.1016/S0021-8693(02)00081-9
State	Published - Aug 15 2002

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/S0021-8693(02)00081-9

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title = "Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials",

abstract = "The quadratic algebras Qn are associated with pseudo-roots of noncommutative polynomials. We compute the Hilbert series of the algebras Qn, and of the dual algebras Qn!.",

author = "Israel Gelfand and Sergei Gelfand and Vladimir Retakh and Shirlei Serconek and Wilson, {Robert Lee}",

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T1 - Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials

AU - Gelfand, Israel

AU - Gelfand, Sergei

AU - Retakh, Vladimir

AU - Serconek, Shirlei

AU - Wilson, Robert Lee

PY - 2002/8/15

Y1 - 2002/8/15

N2 - The quadratic algebras Qn are associated with pseudo-roots of noncommutative polynomials. We compute the Hilbert series of the algebras Qn, and of the dual algebras Qn!.

AB - The quadratic algebras Qn are associated with pseudo-roots of noncommutative polynomials. We compute the Hilbert series of the algebras Qn, and of the dual algebras Qn!.

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U2 - 10.1016/S0021-8693(02)00081-9

DO - 10.1016/S0021-8693(02)00081-9

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SN - 0021-8693

VL - 254

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EP - 299

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials

Abstract

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