DOAJ Open Access 2014

$\ell$-restricted $Q$-systems and quantum affine algebras

Anne-Sophie Gleitz

Lihat Sumber DOI

Abstrak

Kuniba, Nakanishi, and Suzuki (1994) have formulated a general conjecture expressing the positive solution of an $\ell$-restricted $Q$-system in terms of quantum dimensions of Kirillov-Reshetikhin modules. After presenting this conjecture, we sketch a proof for the exceptional type $E_6$ following our preprint (2013). In types $E_7$ and $E_8$, we prove positivity for a subset of the nodes of the Dynkin diagram, and we reduce the positivity for the remaining nodes to the conjectural iterated log-concavity of certain explicit sequences of real algebraic numbers.

Topik & Kata Kunci

Mathematics

Penulis (1)

Anne-Sophie Gleitz

Format Sitasi

APA MLA BibTeX

Gleitz, A. (2014). $\ell$-restricted $Q$-systems and quantum affine algebras. https://doi.org/10.46298/dmtcs.2375

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2375

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2375
Akses: Open Access ✓