2013

Brown, K., and Macauley, M. (2013) Ambiskew Hopf algebras. Journal of Pure and Applied Algebra, 217 (1). pp. 59-74. ISSN 0022-4049 (doi:10.1016/j.jpaa.2012.04.007)

2010

Brown, K.A., and Changtong, K. (2010) Symplectic reflection algebras in positive characteristic. Proceedings of the Edinburgh Mathematical Society, 53 (1). pp. 61-81. ISSN 0013-0915 (doi:10.1017/S0013091507001435)

Brown, K. A., and Zhang, J. J. (2010) Prime regular Hopf algebras of GK-dimension one. Proceedings of the London Mathematical Society, 101 (1). pp. 260-302. ISSN 0024-6115 (doi:10.1112/plms/pdp060)

2008

Brown, K.A., and Zhang, J.J. (2008) Dualising complexes and twisted Hochschild (co)homology for noetherian Hopf algebras. Journal of Algebra, 320 (5). pp. 1814-1850. ISSN 0021-8693 (doi:10.1016/j.jalgebra.2007.03.050)

Brown, K.A., Gordon, I.G., and Stroppel, C. (2008) Cherednik, Hecke and quantum algebras as free Frobenius and Calabi–Yau extensions. Journal of Algebra, 319 (3). pp. 1007-1034. ISSN 0021-8693 (doi:10.1016/j.jalgebra.2007.10.026)

2007

Ardakov, K., and Brown, K.A. (2007) Primeness, semiprimeness and localisation in Iwasawa algebras. Transactions of the American Mathematical Society, 359 . pp. 1499-1515. ISSN 0002-9947 (doi:10.1090/S0002-9947-06-04153-5 )

Brown, K. (2007) Noetherian Hopf algebras. In: Antalya Algebra Days, 22-27 May 2007, Antalya, Turkey.

2006

Brown, K.A., Goodearl, K.R., and Yakimov, M. (2006) Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space. Advances in Mathematics, 206 (2). pp. 567-629. ISSN 0001-8708 (doi:10.1016/j.aim.2005.10.004)

Ardakov, K., and Brown, K.A. (2006) Ring-theoretic properties of Iwasawa algebras: a survey. In: Fesenko, I. (ed.) A Collection of Manuscripts Written in Honour of John H. Coates on the Occasion of his Sixtieth Birthday. Series: Documenta mathematica: extra volume (4). Deutsche Mathematiker-Vereinigung, Bielefeld, Germany, pp. 7-33. ISBN 9783936609288

2005

Brown, KA (2005) Unruffled extensions and flatness over central subalgebras. Journal of Algebra, 284 . pp. 771-800. (doi:10.1016/j.jalgebra.2004.10.008)

2003

Brown, K (2003) Symplectic reflection algebras. Bulletin of the Irish Mathematical Society, 50 . pp. 27-49. ISSN 0791-5578

Brown, KA, and Gordon, I (2003) Poisson orders, symplectic reflection algebras and representation theory. Journal Fur Die Reine Und Angewandte Mathematik, 559 . pp. 193-216.

2002

Brown, K.A., and Goodearl, K.R. (2002) Lectures on Algebraic Quantum Groups. Series: Advanced courses in mathematics, CRM Barcelona . Birkhäuser, Basel, Switzerland. ISBN 9783764367145

Brown, KA, and Gordon, I (2002) The ramifications of the centres: Quantised function algebras at roots of unity. Proceedings of the London Mathematical Society, 84 . pp. 147-178.

2001

Brown, KA, and Gordon, I (2001) The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras. Mathematische Zeitschrift, 238 . pp. 733-779.