Publications

Here is a list of my publications to date. Alternatively you can visit my Google Scholar Google scholar or ORCID profiles. 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.

Journal publications

22.  C. Bowman, A. G. Cox, A. Hazi, and D. Michailidis
Path combinatorics and light leaves for quiver Hecke algebras
Mathematische Zeitschrift, 300 (2021), 2167-2203.
Reviews: MR 4381198 and Zbl 07489546
 
21.  C. Bowman, A. G. Cox, and A. Hazi
Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras
Advances in Mathematics, 429 (2023), 109185, 106 pages
 
20.  S. Barbier, A. G. Cox, and M. De Visscher
The blocks of the periplectic Brauer algebra in positive characteristic
Journal of Algebra, 534 (2019), 289-312.
Reviews: MR 3979076 and Zbl 07081753
 
19.  C. Bowman and A. G. Cox
Modular decomposition numbers of cyclotomic Hecke and diagrammatic Cherednik algebra: a path theoretic approach
Forum of Mathematics: Sigma, 6 (2018), 66 pages.
Reviews: MR 3820251 and Zbl 06912859
 
18.  C. Bowman, A. G. Cox, and L. Speyer
A family of graded decomposition numbers for diagrammatic Cherednik algebras
International Mathematics Research Notices, 2017 (2017), 2686-2734.
Reviews: MR 3658213 and Zbl 1404.20002
 
17.  C. Bowman and A. G. Cox
Decomposition numbers for Brauer algebras of type G(m,p,n) in characteristic zero
Journal of Pure and Applied Algebra, 218 (2014), 992-1002.
Reviews: MR 3153609 and Zbl 1287.20006
 
16.  C. Bowman, A. G. Cox, and M. De Visscher
Decomposition matrices for the cyclotomic Brauer algebras in characteristic zero
Journal of Algebra, 378 (2013), 80-102.
Reviews: MR 3017015 and Zbl 1294.16009
 
15.  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 12j16029 and Zbl 1269.20037
 
14.  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 1269.20038
 
13.  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
 
12.  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 1231.20042
 
11.  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 1230.20046
 
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 GLn
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
 

Other publications

3.  A. G. Cox
Introduction to representations of algebras and quivers
In Algebra, Logic and Combinatorics LTCC Advanced Mathematics Series 3 (2016), 69-104.
 
2.  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).
 
1.  A. G. Cox
On some applications of infinitesimal methods to quantum groups and related algebras
Thesis, QMW London, 1997
 

Anton Cox (A.G.Cox@city.ac.uk)
Last modified: Friday 7 July 2023


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