Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions

Details Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions

2002-03-18

arxiv.org/abs/math-ph/0203030v2

Physics

Mathematical Physics

63 pages (Revised Version: Introduction is modified. Misprints are also corrected.)

Scientific paper

By using an elementary matrix approach, based on the technique of discrete
Toda equation, we construct subtraction-free rational and piecewise linear
transformations associated with various combinatorial algorithms, including the
RSK correspondence. We also investigate birational Weyl group actions related
to those algorithms.

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