City Research Online

Canonical bases for Fock spaces and tensor products

Chuang, J. & Tan, K. M. (2016). Canonical bases for Fock spaces and tensor products. Advances in Mathematics, 302, pp. 159-189. doi: 10.1016/j.aim.2016.07.008


We relate the canonical basis of the Fock space representation of the quantum affine algebra Uq(glˆn), as defined by Leclerc and Thibon [15], to the canonical basis of its restriction to Uq(sln), regarded as a based module in the sense of Lusztig. More generally we consider the restriction to any Levi subalgebra. We deduce results on decomposition numbers and branching coefficients of Schur algebras over fields of positive characteristic, generalizing those of Kleshchev [13] and of Tan and Teo [19].

Publication Type: Article
Additional Information: © 2016, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Publisher Keywords: Canonical basis; Fock space; Schur algebra; Decomposition numbers
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology > Mathematics
Text - Accepted Version
Available under License : See the attached licence file.

Download (532kB) | Preview
Text (Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence) - Other
Download (201kB) | Preview



Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login