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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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The number of monotone triangles with prescribed bottom row
by
Ilse Fischer
Universitaet Wien

We show that the number of monotone triangles with prescribed bottom row (k1, ¼, kn) Î Zn, k1 < k2 < ¼ < kn, is given by a simple product formula which remarkably involves (shift) operators. Monotone triangles with bottom row (1, 2, ¼, n) are in bijection with n ×n alternating sign matrices.

Paper reference: arXiv:math.CO/0501102

Date received: February 25, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caqd-16.