✦ LIBER ✦

A characterization of generalized staircases

✍ Scribed by Mark D. Haiman; Dongsu Kim

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 476 KB
Volume: 99
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(92)90369-q

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✦ Synopsis

Haiman, M.D. and D. Kim, A characterization of generalized staircases, Discrete Mathematics 99 (1992) 115-122. This is a sequel to the first author's paper 'Dual equivalence with applications, including a conjecture of Proctor.' One result of that paper is that certain shifted and unshifted shapes (the generalized staircases) have the property that Schiitzenberger's total promotion operator acts as the identity or the transpose.

Here we prove that generalized staircases are essentially the only shapes with these promotion properties.

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