Deformations of Coxeter Hyperplane Arran
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Alexander Postnikov; Richard P. Stanley
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Article
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2000
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Elsevier Science
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English
β 479 KB
We investigate several hyperplane arrangements that can be viewed as deformations of Coxeter arrangements. In particular, we prove a conjecture of Linial and Stanley that the number of regions of the arrangement x i &x j =1, 1 i< j n, is equal to the number of alternating trees on n+1 vertices. Rema