Publications

Here is a list of my publications. These are also available on the arXiv.

  • Endomorphism algebras of 2-row permutation modules over characteristic 3. J. Algebra 542 (2020) 190–214.
    Gives a complete set of central primitive idempotents in the endomorphism algebras of permutation modules corresponding to maximal Young subgroups over fields of characteristic 3.
  • A proof of the Murnaghan–Nakayama rule using Specht modules and tableau combinatorics, joint with Mark Wildon. Ann. Comb. 24 (2020), no. 1, 149–170.
    Gives a new proof of the Murnaghan–Nakayama rule by explicitly computing the trace of the representing matrix of an n-cycle on the standard polytabloid basis of skew Specht modules.
  • Vertices of modules and decomposition numbers of C2 wr Sn. Algebr. Represent. Theory 23 (2020), no. 1, 95–123.
    Determines the vertices of modules whose ordinary characters are an involution model of the hyperoctahedral group. This description is then used to determine certain decomposition numbers.
  • Endomorphism rings of some Young modules, Arch. Math. (Basel) 106 (2016) 5–14.
    Gives an explicit description of the endomorphism rings of Young modules indexed by partitions in at most two parts, over a field of characteristic 2.