A Timed Version of the Plactic Monoid

06/12/2018

∙

by   Amritanshu Prasad, et al.

∙

0

∙

share

Timed words are words where letters of the alphabet come with time stamps. We extend the definitions of semistandard tableaux, insertion, Knuth equivalence, and the plactic monoid to the setting of timed words. Using this, Greene's theorem is formulated and proved for timed words, and algorithms for the RSK correspondence are extended to real matrices.