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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

math.QAarXiv:math/0109007

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 quadratic algebras Qn!

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