Advanced Studies in Pure Mathematics

Tableaux and Eulerian properties of the symmetric group

Alain Lascoux

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Abstract

The Ehresmann-Bruhat order on the symmetric group satisfies a symmetry property that we generalize to a directed graph with permutations as vertices, labeling edges with tableaux of a given shape.

Article information

Source
Schubert Calculus — Osaka 2012, H. Naruse, T. Ikeda, M. Masuda and T. Tanisaki, eds. (Tokyo: Mathematical Society of Japan, 2016), 251-266

Dates
Received: 25 July 2013
First available in Project Euclid: 4 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1538623002

Digital Object Identifier
doi:10.2969/aspm/07110251

Mathematical Reviews number (MathSciNet)
MR3644826

Zentralblatt MATH identifier
1378.05216

Subjects
Primary: 05E15: Combinatorial aspects of groups and algebras [See also 14Nxx, 22E45, 33C80] 14M15: Grassmannians, Schubert varieties, flag manifolds [See also 32M10, 51M35]

Keywords
symmetric group Ehresmann-Bruhat order tableaux Eulerian structure

Citation

Lascoux, Alain. Tableaux and Eulerian properties of the symmetric group. Schubert Calculus — Osaka 2012, 251--266, Mathematical Society of Japan, Tokyo, Japan, 2016. doi:10.2969/aspm/07110251. https://projecteuclid.org/euclid.aspm/1538623002


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