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The quadratic algebras associated with pseudo-roots of noncommutative polynomials are Koszul algebras

✍ Scribed by Shirlei Serconek; Robert Lee Wilson

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 256 KB
Volume: 278
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00340-5

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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 Wi 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 165 KB

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 .