Kay Jin Lim

activity

20092022

most citedOn the Brauer constructions and generic Jordan types of Young modules

6 citations · 20 across the 13 of their papers we have counts for

collaborators

20 papers

math.RT2022

Small modules with interesting rank varieties

Kay Jin Lim, Jialin Wang

This paper focuses on the rank varieties for modules over a group algebra $F E$ where $E$ is an elementary abelian $p$ -group and $p$ is the characteristic of an algebraical…

math.RT2021

Modular Idempotents for the Descent Algebras of Type A and Higher Lie Powers and Modules

Kay Jin Lim

The article focuses on four aspects related to the descent algebras of type $A$ . They are modular idempotents, higher Lie powers, higher Lie modules and the right ideals of the sym…

math.RT2020

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…

math.RT2020

On signed $p$ -Kostka matrices

Eugenio Giannelli, Kay Jin Lim

We show that the signed $p$ -Kostka numbers depend just on $p$ -Kostka numbers and the multiplicities of projective indecomposable modules in certain signed Young permutation modules…

math.RT2019

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 $G$ be a connected reductive algebraic group over an algebraically closed field of characteristic $p > 0$ , $Δ (λ)$ denote the Weyl module of $G$ of highest weight $λ$ and $ι_{λ,μ}…

math.RT2019

A note on the signature representations of the symmetric groups

Kay Jin Lim, Jialin Wang

For a partition λ and a prime p, we prove a necessary and sufficient condition for there exists a composition δ such that δ can be obtained from λ after rearrangement and all the p…

math.RT2017★ 6 cited

On the Brauer constructions and generic Jordan types of Young modules

Yu Jiang, Kay Jin Lim, Jia Lin Wang

Let p be a prime number. We study the dimensions of Brauer constructions of Young and Young permutation modules with respect to p-subgroups of the symmetric groups. They depend onl…

math.RT2017

Straightening rule for an $m^{'}$ -truncated polynomial ring

Kay Jin Lim

We consider a certain quotient of a polynomial ring categorified by both the isomorphic Green rings of the symmetric groups and Schur algebras generated by the signed Young permuta…

math.RT2016★ 3 cited

Homomorphisms from Specht Modules to Signed Young Permutation Modules

Kay Jin Lim, Kai Meng Tan

We construct a class $Θ_{R}$ of homomorphisms from a Specht module $S_{Z}^{λ}$ to a signed permutation module $M_{Z} (α ∣ β)$ which generalises James's const…

math.RT2015★ 3 cited

On signed p-Kostka numbers and the indecomposable signed Young permutation modules

Eugenio Giannelli, Kay Jin Lim, William O'Donovan +1

We prove the existence and main properties of signed Young modules for the symmetric group, using only basic facts about symmetric group representations and the Brou{é} corresponde…

math.RT2015

Signed Young Modules and Simple Specht Modules

Susanne Danz, Kay Jin Lim

By a result of Hemmer, every simple Specht module of a finite symmetric group over a field of odd characteristic is a signed Young module. While Specht modules are parametrized by…

math.RT2015

Periodic Lie Modules

Kay Jin Lim, Kai Meng Tan

Let $p$ be a prime number and $k$ be a positive integer not divisible by $p$ . We describe the Heller translates of the periodic Lie module $Lie (p k)$ in characteristic $p$ …

math.RT2014★ 1 cited

Sylow subgroups of symmetric and alternating groups and the vertex of $S^{(k p - p, 1^{p})}$ in characteristic $p$

Eugenio Giannelli, Kay Jin Lim, Mark Wildon

We show that the Sylow $p$ -subgroups of a symmetric group, respectively an alternating group, are characterized as the $p$ -subgroups containing all elementary abelian $p$ -subgroups…

math.RT2011

The complexity of the Lie module

Karin Erdmann, Kay Jin Lim, Kai Meng Tan

We show that the complexity of the Lie module $Lie (n)$ in characteristic $p$ is bounded above by $m$ where $p^{m}$ is the largest $p$ -power dividing $n$ and, if $n$ is not a…

math.RT2011★ 3 cited

The complexities of some simple modules of the symmetric groups

Kay Jin Lim, Kai Meng Tan

We show that the simple modules of the Rouquier blocks of symmetric groups, in characteristic $p$ and having $p$ -weight $w$ with $w < p$ , have a common complexity $w$ , and that whe…

math.RT2011

The Schur functor on tensor powers

Kay Jin Lim, Kai Meng Tan

Let $M$ be a left module for the Schur algebra $S (n, r)$ , and let $s \in Z^{+}$ . Then $M^{\otimes s}$ is a $(S (n, r s), F S_{s})$ -bimodule, where the symmetric group $\…

math.RT2011★ 4 cited

Specht modules with abelian vertices

Kay Jin Lim

In this article, we consider indecomposable Specht modules with abelian vertices. We show that the corresponding partitions are necessarily $p^{2}$ -cores where $p$ is the characteris…

math.RT2010

Asymptotic behaviour of Lie powers and Lie modules

Roger M. Bryant, Kay Jin Lim, Kai Meng Tan

Let $V$ be a finite-dimensional $F G$ -module, where $F$ is a field of prime characteristic $p$ and $G$ is a group. We show that, when $r$ is not a power of $p$ , the Lie power $L^r(V…

math.RT2009

The varieties for some Specht modules

Kay Jin Lim

We concern the VIGRE's conjecture; namely the complexity of a Specht module is the p-weight of the corresponding partition if and only if the partition is not p by p. In abelian de…

math.RT2009

The complexity of the Specht modules corresponding to hook partitions

Kay Jin Lim

Let w be the p-weight of a hook partition μand E be an elementary abelian p-subgroup generated by w disjoint p-cycles. We compute the generic Jordan type of the Specht module corre…

Small modules with interesting rank varieties

Modular Idempotents for the Descent Algebras of Type A and Higher Lie Powers and Modules

Young's seminormal basis vectors and their denominators

On signed p-Kostka matrices

Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young's seminormal basis

A note on the signature representations of the symmetric groups

On the Brauer constructions and generic Jordan types of Young modules

Straightening rule for an m′-truncated polynomial ring

Homomorphisms from Specht Modules to Signed Young Permutation Modules

On signed p-Kostka numbers and the indecomposable signed Young permutation modules

Signed Young Modules and Simple Specht Modules

Periodic Lie Modules

Sylow subgroups of symmetric and alternating groups and the vertex of S(kp−p,1p) in characteristic p

The complexity of the Lie module

The complexities of some simple modules of the symmetric groups

The Schur functor on tensor powers

Specht modules with abelian vertices

Asymptotic behaviour of Lie powers and Lie modules

The varieties for some Specht modules

The complexity of the Specht modules corresponding to hook partitions

On signed $p$ -Kostka matrices

Straightening rule for an $m^{'}$ -truncated polynomial ring

Sylow subgroups of symmetric and alternating groups and the vertex of $S^{(k p - p, 1^{p})}$ in characteristic $p$