1 citations · 1 across the 5 of their papers we have counts for
5 papers
Non-induced modular representations of cyclic groups
Liam Jolliffe, Robert A. Spencer
We compute the ring of non-induced representations for a cyclic group, , over an arbitrary field and show that it has rank , where is Euler's totient function - inde…
Universal -ary designs
Liam Jolliffe
We investigate -ary -designs which are simultaneously designs for all , which we call universal -ary designs. Null universal designs are well understood due to Gordon J…
A combinatorial approach to first degree cohomology of Specht modules
Liam Jolliffe
Using purely combinatorial methods we calculate the first degree cohomology of Specht modules indexed by two part partitions over fields of characteristic . These combinato…
On the Schaper Number of Partitions
Liam Jolliffe, Stuart Martin
One of the most useful tools for calculating the decomposition numbers of the symmetric group is Schaper's sum formula. The utility of this formula for a given Specht module can be…
A Short Proof of the Rank Formula for Inclusion Matrices using the Representation Theory of the Symmetric Group
Liam Jolliffe
We present a new proof of the well known formula for the rank of the inclusion matrix by constructing a -module spanned by the columns of this matrix and calculatin…