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

Israel Gelfand·Sergei Gelfand·Vladimir Retakh·Shirlei Serconek·Robert Lee Wilson
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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 quadratic algebras Q_n^!

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Israel Gelfand, Sergei Gelfand, Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson. 2001-09-07. Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials. https://arxiv.org/abs/math/0109007

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