A bijection between noncrossing and nonnesting partitions for classical reflection groups

Abstract

We present an elementary type preserving bijection between noncrossing and nonnesting partitions for all classical reflection groups, answering a question of Athanasiadis.

25 pages, 10 figures. Final version

References in corpus (2)

• Decomposition numbers for finite Coxeter groups and generalised non-crossing partitions
• A bijection between noncrossing and nonnesting partitions of types A and B

Cited by in corpus (1)

• A uniform bijection between nonnesting and noncrossing partitions