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Multiplicative functions on the lattice of non-crossing partitions and free convolution

✍ Scribed by Roland Speicher


Publisher
Springer
Year
1994
Tongue
English
Weight
741 KB
Volume
298
Category
Article
ISSN
0025-5831

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The Lattice of Non-crossing Partitions a
✍ D.M. Jackson πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 186 KB

A matrix associated with the chromatic join of non-crossing partitions has been introduced by Tutte to generalise the Birkhoff-Lewis equations. A conjecturc is given for its determinant in terms of polynomials having the Beraha numbers among their roots. Corrcsponding results for join and meet on th