Non-crossing partitions

Baumeister B, Bux K-U, Götze F, Kielak D, Krause H (2019)
arXiv:1903.01146.

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Abstract / Bemerkung
Non-crossing partitions have been a staple in combinatorics for quite some time. More recently, they have surfaced (sometimes unexpectedly) in various other contexts from free probability to classifying spaces of braid groups. Also, analogues of the non-crossing partition lattice have been introduced. Here, the classical non-crossing partitions are associated to Coxeter and Artin groups of type $\mathsf{A}_n$, which explains the tight connection to the symmetric groups and braid groups. We shall outline those developments.
Erscheinungsjahr
2019
Zeitschriftentitel
arXiv:1903.01146
Page URI
https://pub.uni-bielefeld.de/record/2934694

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Baumeister B, Bux K-U, Götze F, Kielak D, Krause H. Non-crossing partitions. arXiv:1903.01146. 2019.
Baumeister, B., Bux, K. - U., Götze, F., Kielak, D., & Krause, H. (2019). Non-crossing partitions. arXiv:1903.01146
Baumeister, B., Bux, K. - U., Götze, F., Kielak, D., and Krause, H. (2019). Non-crossing partitions. arXiv:1903.01146.
Baumeister, B., et al., 2019. Non-crossing partitions. arXiv:1903.01146.
B. Baumeister, et al., “Non-crossing partitions”, arXiv:1903.01146, 2019.
Baumeister, B., Bux, K.-U., Götze, F., Kielak, D., Krause, H.: Non-crossing partitions. arXiv:1903.01146. (2019).
Baumeister, Barbara, Bux, Kai-Uwe, Götze, Friedrich, Kielak, Dawid, and Krause, Henning. “Non-crossing partitions”. arXiv:1903.01146 (2019).

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