DOAJ Open Access 2012

The down operator and expansions of near rectangular k-Schur functions

Chris Berg Franco Saliola Luis Serrano

Lihat Sumber DOI

Abstrak

We prove that the Lam-Shimozono ``down operator'' on the affine Weyl group induces a derivation of the affine Fomin-Stanley subalgebra of the affine nilCoxeter algebra. We use this to verify a conjecture of Berg, Bergeron, Pon and Zabrocki describing the expansion of k-Schur functions of ``near rectangles'' in the affine nilCoxeter algebra. Consequently, we obtain a combinatorial interpretation of the corresponding k-Littlewood–Richardson coefficients.

Topik & Kata Kunci

Mathematics

Penulis (3)

Chris Berg

Franco Saliola

Luis Serrano

Format Sitasi

APA MLA BibTeX

Berg, C., Saliola, F., Serrano, L. (2012). The down operator and expansions of near rectangular k-Schur functions. https://doi.org/10.46298/dmtcs.3052

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3052

Informasi Jurnal

Tahun Terbit: 2012
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.3052
Akses: Open Access ✓