DOAJ Open Access 2020

Affine type A geometric crystal structure on the Grassmannian

Gabriel Frieden

Lihat Sumber DOI

Abstrak

We construct a type A(1) n−1 affine geometric crystal structure on the Grassmannian Gr(k, n). The tropicalization of this structure recovers the combinatorics of crystal operators on semistandard Young tableaux of rectangular shape (with n − k rows), including the affine crystal operator e 0. In particular, the promotion operation on these tableaux essentially corresponds to cyclically shifting the Plu ̈cker coordinates of the Grassmannian.

Topik & Kata Kunci

Mathematics

Penulis (1)

Gabriel Frieden

Format Sitasi

APA MLA BibTeX

Frieden, G. (2020). Affine type A geometric crystal structure on the Grassmannian. https://doi.org/10.46298/dmtcs.6393

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6393

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6393
Akses: Open Access ✓