Gordon''s research involves the representation theory of groups. He is particularly interested in symmetric groups and general linear groups and the combinatorics associated with them. A series of his papers have been concerned with evaluating decomposition numbers of various groups and establishing patterns in the decomposition matrices.
Gordon also studies q-analogues of the symmetric group algebra, especially Hecke algebras and q-Schur algebras. A collection of fundamental papers has established the relationship between repesentations of general linear groups in both the describing and non-describing characteristic cases and repesentations of symmetric groups. The main key in this area is the q-Schur algebra, which was introduced by Gordon and R. Dipper.
Professor Gordon James'' personal webpage can be found at http://www.ma.ic.ac.uk/~gdj/
James G, Lyle S, Mathas A, 2006, Rouquier blocks, Mathematische Zeitschrift, Vol:252, ISSN:0025-5874, Pages:511-531
James G, Mathas A, 2004, Symmetric group blocks of small defect, Journal of Algebra, Vol:279, ISSN:0021-8693, Pages:566-612
Dipper R, James G, 2004, On Specht modules for general linear groups, Journal of Algebra, Vol:275, ISSN:0021-8693, Pages:106-142
Frumkin A, James G, Roichman Y, 2003, On trees and characters, Journal of Algebraic Combinatorics, Vol:17, ISSN:0925-9899, Pages:323-334
James, G., 2003, Representations of general linear groups, Contemporary Mathematics, Vol:325, ISSN:0271-4132, Pages:93-108