5 citations · 12 across the 13 of their papers we have counts for
17 papers
Scopes equivalence for blocks of Ariki-Koike algebras
Joseph Chuang, Kai Meng Tan
We obtain necessary and sufficient conditions for a block of an Ariki-Koike algebra to have the property that all its associated multipartitions have no addable node with a given r…
Young's seminormal basis vectors and their denominators
Ming Fang, Kay Jin Lim, Kai Meng Tan
We study Young's seminormal basis vectors of the dual Specht modules of the symmetric group, indexed by a certain class of standard tableaux, and their denominators. These vectors…
Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young's seminormal basis
Ming Fang, Kay Jin Lim, Kai Meng Tan
Let be a connected reductive algebraic group over an algebraically closed field of characteristic , denote the Weyl module of of highest weight and $ι_{λ,μ}…
Parallelotope tilings and -decomposition numbers
Joseph Chuang, Hyohe Miyachi, Kai Meng Tan
We provide closed formulas for a large subset of the canonical basis vectors of the Fock space representation of . These formulas arise from paralle…
Homomorphisms from Specht Modules to Signed Young Permutation Modules
Kay Jin Lim, Kai Meng Tan
We construct a class of homomorphisms from a Specht module to a signed permutation module which generalises James's const…
Canonical bases for Fock spaces and tensor products
Joseph Chuang, Kai Meng Tan
We relate the canonical basis of the Fock space representation of the quantum affine algebra , as defined by Leclerc and Thibon, to the canonical…