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

arxiv: math/0109007 · v2 · submitted 2001-09-02 · 🧮 math.QA · math.AG

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

Israel Gelfand , Sergei Gelfand , Vladimir Retakh , Shirlei Serconek , Robert Lee Wilson This is my paper

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keywords algebrasquadraticassociatedhilbertnoncommutativepolynomialspseudo-rootsseries

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

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