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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Bruhat order of the symmetric group is lexicographically shellable


Author: Paul H. Edelman
Journal: Proc. Amer. Math. Soc. 82 (1981), 355-358
MSC: Primary 06A10; Secondary 13H10, 14M05, 20B99, 52A22
MathSciNet review: 612718
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Abstract: The title theorem is proven. It then follows from a theorem of Björner that the simplicial complex of chains of this Bruhat order is shellable and thus Cohen-Macaulay. It is further established that this complex is a double cone over a triangulation of a sphere.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0612718-4
PII: S 0002-9939(1981)0612718-4
Article copyright: © Copyright 1981 American Mathematical Society