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

Woo, Alexander

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

Authors

Description

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.
9 pages, 1 figure

Keywords

Combinatorics, Algebraic Geometry, 05E99 (Primary) 14M15 (Secondary)

URI

http://salesiana.dossiersoluciones.com/handle/123456789/71838

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407160
http://arxiv.org/abs/math/0407160

Collections

arXiv

Full item page

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

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Keywords

Citation

URI

Consulte el texto completo en el siguiente enlace:

Collections