The Lascoux-Schutzenberger Tree and
Correspondences of Robinson-Schensted and Edelman-Greene
David P. Little
refreshments at 3:45pm
In 2001, a purely combinatorial proof of the Schur positivity of the
Stanley Symmetric functions was discovered. This proof appeared in the
form of a bijection between reduced factorizations of permutations related
by the Lascoux-Schutzenberger Tree. Subsequently, many remarkable
properties of this bijection have been revealed. In this talk we will
discuss the connection between our bijection and the classic bijections of
Robinson-Schensted and Edelman-Greene. Throughout the talk, we will make
use of an Applet which has proved to be invaluable in the discovery of
many of these properties.
Speaker's Contact Info: dlittle(at-sign)gauss.dartmouth.edu
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