DOAJ Open Access 2014

The Selberg integral and Young books

Jang Soo Kim Suho Oh

Lihat Sumber DOI

Abstrak

The Selberg integral is an important integral first evaluated by Selberg in 1944. Stanley found a combinatorial interpretation of the Selberg integral in terms of permutations. In this paper, new combinatorial objects "Young books'' are introduced and shown to have a connection with the Selberg integral. This connection gives an enumeration formula for Young books. It is shown that special cases of Young books become standard Young tableaux of various shapes: shifted staircases, squares, certain skew shapes, and certain truncated shapes. As a consequence, enumeration formulas for standard Young tableaux of these shapes are obtained.

Topik & Kata Kunci

Mathematics

Penulis (2)

Jang Soo Kim

Suho Oh

Format Sitasi

APA MLA BibTeX

Kim, J.S., Oh, S. (2014). The Selberg integral and Young books. https://doi.org/10.46298/dmtcs.2408

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2408

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2408
Akses: Open Access ✓