Algebraic Operads (Grundlehren der mathematischen
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The coverage is standard: linear systems and Gauss's method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. The paper, “Positivity for Cluster Algebras,” proves a conjecture that was first proposed more than a decade ago – which by mathematics standards is a pretty quick turnaround. “It’s very new,” Schiffler says, only half-joking. “In math anything younger than 50 years is new.” Schiffler shows, over the course of more than 30 pages of seemingly impenetrable equations, that the coefficients of the Laurent polynomials that represent the cluster variables that are mutated to generate cluster algebras are all positive.
Publisher: Springer; 2012 edition (August 7, 2012)
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