DOAJ Open Access 2020

Factorial Characters and Tokuyama's Identity for Classical Groups

Angèle M. Hamel Ronald C. King

Lihat Sumber DOI

Abstrak

In this paper we introduce factorial characters for the classical groups and derive a number of central results. Classically, the factorial Schur function plays a fundamental role in traditional symmetric function theory and also in Schubert polynomial theory. Here we develop a parallel theory for the classical groups, offering combinatorial definitions of the factorial characters for the symplectic and orthogonal groups, and further establish flagged factorial Jacobi-Trudi identities and factorial Tokuyama identities, providing proofs in the symplectic case. These identities are established by manipulating determinants through the use of certain recurrence relations and by using lattice paths.

Topik & Kata Kunci

Mathematics

Penulis (2)

Angèle M. Hamel

Ronald C. King

Format Sitasi

APA MLA BibTeX

Hamel, A.M., King, R.C. (2020). Factorial Characters and Tokuyama's Identity for Classical Groups. https://doi.org/10.46298/dmtcs.6338

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6338

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6338
Akses: Open Access ✓