A bijective proof of Macdonald's reduced word formula
We describe a bijective proof of Macdonald's reduced word identity using pipe dreams and Little's bumping algorithm. The proof extends to a principal specialization of the identity due to Fomin and Stanley. Our bijective tools also allow us to address a problem posed by Fomin and Kirillov...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Discrete Mathematics & Theoretical Computer Science
2020-04-01
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Series: | Discrete Mathematics & Theoretical Computer Science |
Subjects: | |
Online Access: | https://dmtcs.episciences.org/6412/pdf |