Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.aim.2017.09.024
Title: Parallelotope tilings and q-decomposition numbers
Authors: Chuang, J
Miyachi, H
Tan, KM 
Keywords: math.RT
math.RT
math.QA
17B37, 20G43
Issue Date: 1-Dec-2017
Publisher: Elsevier BV
Citation: Chuang, J, Miyachi, H, Tan, KM (2017-12-01). Parallelotope tilings and q-decomposition numbers. Advances in Mathematics 321 : 80-159. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aim.2017.09.024
Abstract: © 2017 Elsevier Inc. We provide closed formulas for a large subset of the canonical basis vectors of the Fock space representation of U q (slˆ e ). These formulas arise from parallelotopes which assemble to form polytopal complexes. The subgraphs of the Ext 1 -quivers of v-Schur algebras at complex e-th roots of unity generated by simple modules corresponding to these canonical basis vectors are given by the 1-skeletons of the polytopal complexes.
Source Title: Advances in Mathematics
URI: https://scholarbank.nus.edu.sg/handle/10635/155267
ISSN: 0001-8708
1090-2082
DOI: 10.1016/j.aim.2017.09.024
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