G
Gordon James
Researcher at Imperial College London
Publications - 63
Citations - 7703
Gordon James is an academic researcher from Imperial College London. The author has contributed to research in topics: Symmetric group & Specht module. The author has an hindex of 31, co-authored 63 publications receiving 7383 citations. Previous affiliations of Gordon James include University of Cambridge & University of Toronto.
Papers
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On Trees and Characters
TL;DR: In this article, a new family of trees, defined in term of Young diagrams, is introduced, and values of central characters of the symmetric group are represented as a weighted enumeration of such trees.
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The module orthogonal to the specht module
Gordon James,Gordon James +1 more
TL;DR: In this paper, the authors adopt the notation of [3] so that when h = (A, A,,..., Ak) is a proper partition of n, MA is the permutation module of the symmetric group 6, on the subgroup GA1 x GA2 x 1.. x GA1 over some field F. The Specht module, 9, is a submodule of MA.
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Unipotent representations of the finite general linear groups
TL;DR: In this paper, the authors show that there are exactly as many inequivalent irreducible unipotent representations as there are partitions of 1-t 1; this was proved by Steinberg [3] using characters.
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On Specht modules for general linear groups
Richard Dipper,Gordon James +1 more
TL;DR: The represent theory of GLn(q) as discussed by the authors is analogous to the represent theory for GL n(q), and one can see how to translate it into that for Sn by assuming that the dimension of a Specht module S is independent of the charF q and that S has a unique top composition factor.
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Generalized Matrix Function Inequalities on M-Matrices
TL;DR: For normalised generalized matrix functions f and g, this article showed that f dominates g if f(A[ges ]g(A) for every M-matrix A. This work parallels ongoing research into gmf inequalities on positive semidefinite matrices.