Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.aim.2016.07.008
Title: Canonical bases for Fock spaces and tensor products
Authors: Chuang, Joseph
Tan, Kai Meng 
Keywords: Canonical basis
Fock space
Schur algebra
Decomposition numbers
Issue Date: 22-Oct-2016
Publisher: Elsevier BV
Citation: Chuang, Joseph, Tan, Kai Meng (2016-10-22). Canonical bases for Fock spaces and tensor products. ADVANCES IN MATHEMATICS 302 : 159-189. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aim.2016.07.008
Abstract: © 2016 The Author(s) We relate the canonical basis of the Fock space representation of the quantum affine algebra U q (glˆ n ), as defined by Leclerc and Thibon [15], to the canonical basis of its restriction to U q (sl n ), 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].
Source Title: ADVANCES IN MATHEMATICS
URI: https://scholarbank.nus.edu.sg/handle/10635/155265
ISSN: 0001-8708
1090-2082
DOI: 10.1016/j.aim.2016.07.008
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