DOAJ Open Access 2013

Descent sets for oscillating tableaux

Martin Rubey Bruce E. Sagan Bruce W. Westbury

Lihat Sumber DOI

Abstrak

The descent set of an oscillating (or up-down) tableau is introduced. This descent set plays the same role in the representation theory of the symplectic groups as the descent set of a standard tableau plays in the representation theory of the general linear groups. In particular, we show that the descent set is preserved by Sundaram's correspondence. This gives a direct combinatorial interpretation of the branching rules for the defining representations of the symplectic groups; equivalently, for the Frobenius character of the action of a symmetric group on an isotypic subspace in a tensor power of the defining representation of a symplectic group.

Topik & Kata Kunci

Mathematics

Penulis (3)

Martin Rubey

Bruce E. Sagan

Bruce W. Westbury

Format Sitasi

APA MLA BibTeX

Rubey, M., Sagan, B.E., Westbury, B.W. (2013). Descent sets for oscillating tableaux. https://doi.org/10.46298/dmtcs.12796

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.12796

Informasi Jurnal

Tahun Terbit: 2013
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.12796
Akses: Open Access ✓