Publications

Here is a list of my publications to date. Alternatively you can visit my Google Scholar profile. Links are either to arXiv versions of preprints or to the published papers. Offprints of published papers can be obtained by emailing me at the address at the foot of this page.

I created some p-adic SL(3) alcove diagrams for the distant decomposition numbers paper, which have since been modified by Alison Parker for our joint homomorphisms paper:

2-adic graph paper (xfig and ps), 3-adic graph paper (xfig and ps),
5-adic graph paper (xfig and ps), 0-adic graph paper (xfig and ps).

16. A. G. Cox and M. De Visscher: Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra; Journal of Algebra, 340 (2011), 151-181.; Reviews: MR pre 2813567
15. A. G. Cox, M. De Visscher, and P. P. Martin: Alcove geometry and a translation principle for the Brauer algebra; Journal of Pure and Applied Algebra, 215 (2011), 335-367.; Reviews: MR 11j16018 and Zbl pre05833908
14. A. G. Cox, M. De Visscher, S. Doty, and P. P. Martin: On the blocks of the walled Brauer algebra; Journal of Algebra, 320 (2008), 169-212.; Reviews: MR 09c16094 and Zbl 1196.20004
13. A. G. Cox, M. De Visscher, and P. P. Martin: A geometric characterisation of the blocks of the Brauer algebra; J. London Math. Soc. 80 (2009), 471-494.; Reviews: MR 10h20100 and Zbl pre05618670
12. A. G. Cox, M. De Visscher, and P. P. Martin: The blocks of the Brauer algebra in characteristic zero; Representation Theory 13 (2009), 272-308.; Reviews: MR 10m20068 and Zbl pre05706398
11. A. G. Cox: The passage from physics to representation theory; Notes for a summer school on Representation Theory in Differential Geometry and Physics; at the IMSP, Porto Novo, Benin, (2005).
10. A. G. Cox and A. E. Parker: Homomorphisms and higher extensions for Schur algebras and symmetric groups; Journal of Algebra and its Applications 4 (2005), 645-670.; Reviews: MR 07c20028 and Zbl 1100.20006
9. A. G. Cox, P. P. Martin, A. E. Parker, and C. C. Xi: Representation theory of towers of recollement: theory, notes, and examples; Journal of Algebra 302 (2006), 340-360.; Reviews: MR 07b16028 and Zbl 1147.16016
8. A. G. Cox and A. E. Parker: Homomorphisms between Weyl modules for SL₃(k); Trans. Amer. Math. Soc. 358 (2006), 4159-4207.; Reviews: MR 07e20095 and Zbl 1160.20035
7. A. G. Cox: The tilting tensor product theorem and decomposition numbers for symmetric groups; Algebras and Representation Theory 10 (2007), 307-314.; Reviews: MR 08k20022 and Zbl 1121.20008
6. A. G. Cox, J. J. Graham, and P. P. Martin: The blob algebra in positive characteristic; Journal of Algebra 266 (2003), 584-635.; Reviews: MR 04f20012 and Zbl 1144.20300
5. A. G. Cox: Decomposition numbers for distant Weyl modules; Journal of Algebra 243 (2001), 448-472.; Reviews: MR 02k20081 and Zbl 1022.20019
4. A. G. Cox and K. Erdmann: On Ext² between Weyl modules for quantum GL_n; Math. Proc. Camb. Phil. Soc. 128 (2000), 441-463.; Reviews: MR 00m20069 and Zbl 0963.20021
3. A. G. Cox: On the blocks of the infinitesimal Schur algebras; Quart. J. Math. 51 (2000), 39-56.; Reviews: MR 01a16024 and Zbl 1006.20036
2. A. G. Cox: The blocks of the q-Schur algebras; Journal of Algebra 207 (1998), 306-325.; Reviews: MR 99k16078 and Zbl 0911.16021
1. A. G. Cox: Ext¹ for Weyl modules for q-GL(2,k); Math. Proc. Camb. Phil. Soc. 124 (1998), 231-251.; Reviews: MR 99h17018 and Zbl 0911.20033