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- W4300200908 abstract "We investigate the connection between Tamari lattices and the Thompson group F, summarized in the fact that F is a group of fractions for a certain monoid F+sym whose Cayley graph includes all Tamari lattices. Under this correspondence, the Tamari lattice operations are the counterparts of the least common multiple and greatest common divisor operations in F+sym. As an application, we show that, for every n, there exists a length l chain in the nth Tamari lattice whose endpoints are at distance at most 12l/n." @default.
- W4300200908 created "2022-10-03" @default.
- W4300200908 creator A5013058432 @default.
- W4300200908 date "2011-09-24" @default.
- W4300200908 modified "2023-10-10" @default.
- W4300200908 title "Tamari Lattices and the symmetric Thompson monoid" @default.
- W4300200908 doi "https://doi.org/10.48550/arxiv.1109.5296" @default.
- W4300200908 hasPublicationYear "2011" @default.
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