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- Kay Jin Lim, Kai Meng Tan
- 2011

Let M be a left module for the Schur algebra S(n, r), and let s âˆˆ Z. Then MâŠ—s is a (S(n, rs), FSs)-bimodule, where the symmetric group Ss on s letters acts on the right by place permutations. We showâ€¦ (More)

Let V be a finite-dimensional FG-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(V ) has a direct summand B(V ) whichâ€¦ (More)

- Kay Jin Lim, Mark Wildon
- 2015

We study the modular structure of signed Young permutation modules for the symmetric groups. In particular, we give some new reductions for the signed p-Kostka numbers, namely the multiplicities ofâ€¦ (More)

- A. F. Lim, K. Jin, Kay Jin Lim
- 2018

J. Carlson introduced the cohomological and rank variety for a module over a finite group algebra. We give a general form for the largest component of the variety for the Specht module for theâ€¦ (More)

- Kay Jin Lim, Kai Meng Tan
- 2018

We construct a class Î˜R of homomorphisms from a Specht module S Î» Z to a signed permutation module MZ(Î±|Î²) which generalises Jamesâ€™s construction of homomorphisms whose codomain is a Youngâ€¦ (More)

- Kay Jin Lim, Mark Wildon
- 2014

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 up to conjugacy of theâ€¦ (More)

- Kay Jin Lim, Kai Meng Tan
- 2016

We show that a signed Young permutation module M(Î±|Î²) has a Specht ltration in which a Specht module S appears with a multiplicity given by the number of semistandard Î»-tableaux of type (Î±|Î²). Weâ€¦ (More)

- Kay Jin Lim
- 2009

We show that the complexity of the Specht module corresponding to any hook partition is the p-weight of the partition. We calculate the variety and the complexity of the signed permutation modules.â€¦ (More)

- Kay Jin Lim, WILLIAM Oâ€™DONOVAN, Mark Wildon
- 2017

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 BrouÃ© correspondence. We then proveâ€¦ (More)

- Kay Jin Lim
- 2011

In this article, we consider indecomposable Specht modules with abelian vertices. We show that the corresponding partitions are necessarily p2-cores where p is the characteristic of the underlyingâ€¦ (More)