Skip to Main content Skip to Navigation
Conference papers

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

Abstract : 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.
Complete list of metadata

Cited literature [14 references]  Display  Hide  Download

https://hal.inria.fr/hal-01207615
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Thursday, October 1, 2015 - 9:29:26 AM
Last modification on : Tuesday, October 19, 2021 - 11:33:54 PM
Long-term archiving on: : Saturday, January 2, 2016 - 10:56:10 AM

File

dmAT0101.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

Anne-Sophie Gleitz. $\ell$-restricted $Q$-systems and quantum affine algebras. 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. pp.1-10, ⟨10.46298/dmtcs.2375⟩. ⟨hal-01207615⟩

Share

Metrics

Record views

74

Files downloads

460