Catalan numbers and Schubert polynomials for $w=1(n+1)... 2$

Details Catalan numbers and Schubert polynomials for $w=1(n+1)... 2$ Catalan numbers and Schubert polynomials for $w=1(n+1)... 2$

2004-07-09

arxiv.org/abs/math/0407160v1

Mathematics

Combinatorics

9 pages, 1 figure

Scientific paper

We show that the Schubert polynomial S_w specializes to the Catalan number
C_n when $w=1(n+1)...2$. Several proofs of this result as well as a q-analog
are given. An application to the singularities of Schubert varieties is given.

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