Publications since 1990

• G.I. Lehrer and T. Shoji, On flag varieties, hyperplane complements and the Springer representations of Weyl groups, J. Aust. Math. Soc. (Series A) (1990), 449-485.
• G.I. Lehrer and M.J. Dyer, On positivity in Hecke algebras, Geom. Ded. 25 (1990), 115-125.
• G.I. Lehrer, Group representations, geometry and topology, Springer Lecture Notes in Mathematics 1456 (1990) 14-31.
• G.I. Lehrer, Rational tori, semisimple orbits and the topology of hyperplane complements, Commentarii Math. Helv 67 (1992), 226-251.
• G.I. Lehrer, F. Digne and J. Michel, The characters of the group of rational points of reductive groups with non-connected centre, J. f\"ur die reine u. angewandte Mathematik (Crelle) 425 (1992), 155-192.
• G.I. Lehrer, On the $\ell$-adic cohomology of hyperplane complements, Bull. Lond. Math. Soc. 24 (1992), 76-82.
• G.I. Lehrer, Rational tori, invariant functions on a Lie algebra and the nilpotent variety, Proc. 1991 Symp. on Lie groups, UNSW (1992)
• G.I. Lehrer and L. Rylands, The split building of a reductive group , Math. Ann. 296 (1993), 607-624
• G.I. Lehrer and J. Th\'evenaz, Sur la conjecture d'Alperin pour les groupes r\'eductifs finis, Comptes Rendus Acad. Sci. Par. t.315(1993), S\'er. 1, 1347-1351
• G.I. Lehrer and R.B. Howlett, On Harish-Chandra induction and restriction for modules of Levi subgroups, J. Algebra 165 (1994), 172-183
• G.I. Lehrer, The space of invariant functions on a Lie algebra, Trans. Amer. Math. Soc. 348 (1996), 31-50
• G.I. Lehrer, A toral configuration space and regular semisimple conjugacy classes, Math. Proc. Camb. Phil. Soc. 118 (1995), 105-113
• G.I. Lehrer, Poincar\'e series for unitary reflection groups, Inventiones Math. 120 (1995) 411-425.
• G.I. Lehrer (with J.Graham), Cellular algebras, Inventiones Math. 123 (1996), 1-34
• G.I. Lehrer (with A. Dimca), Purity and equivariant weight polynomials, Aust. Math. Soc. Lecture Series 9 (1996), 161-182.
• G.I. Lehrer, Fourier transforms, nilpotent orbits, Hall polynomials and Green functions, Finite reductive Groups (Luminy 1994), 291-309, Progr. Math. 141 Birkh\"auser, Boston MA 1997.
• G.I. Lehrer, A vanishing theorem for hyperplane cohomology, Bull. Aust. Math. Soc. 53 (1996), 361-368.
• G.I. Lehrer (ed.) Algebraic Groups and Lie Groups, Australian Math. Soc. Lecture Series 9, Cambridge University Press 1996.
• G.I. Lehrer, The cohomology of the regular semisimple variety, J.Algebra 199 (1998), 666-689.
• G.I. Lehrer, (with F. Digne and J. Michel), Gel'fand Graev characters of reductive groups with disconnected centre, J. f\"ur die reine u. ang. Math. (Crelle) 491 (1997), 131-147.
• G.I. Lehrer (with T. A. Springer), Intersection multiplicities and reflection subquotients of unitary reflection groups I, in {\it Geometric Group Theory Down Under: Proceeedings of a special year in Geometric Group Theory, Canberra, Australia 1996}, edited by Cossey et al., de Gruyter 1999, 181--194.
• G.I. Lehrer (with J. Graham), The representation theory of affine Temperley- Lieb algebras, L'Enseignment Math. 44 (1998), 173--218.
• G.I. Lehrer (with T.A. Springer), Reflection subquotients of unitary reflection groups, to appear, Canadian J. Math., 1999.
• G.I. Lehrer (with R.B. Howlett) On reflection length in reflection groups, Archiv Math. Basel 73 1999, 321-326
• G.I. Lehrer (with T.A. Springer), A note concerning fixed points of parabolic subgroups of unitary reflection groups, Indagagiones Math., 10(4) 1999, 549-553.
• Equivariant cohomology of configurations in Rⁿ (ps file), Algebras and Representation Theory 3 (2000), 377-384.
• G.I. Lehrer (with G.B. Segal) Homology stability for classical regular semisimple varieties (ps file), Math. Zeit. 236 (2001), 251-290
• Geometric themes in representation theory to appear, Beijing Normal University Press, 2000. (ps file)
• G. I. Lehrer (with J. Blair), Cohomology actions and centralisers in unitary reflection groups Proc. Lond. Math. Soc. 83 (2001) 582--604 (dvi file)
• G. I. Lehrer (with J. Graham), The two-step nilpotent representations of the extended affine Hecke algebra of type A Compositio Math. 133 (2002), 173--197 (ps file)
• G. I. Lehrer (with M. Kisin),Equivariant Poincar\'e polynomials and counting points over finite fields. J.Algebra 247 (2002), 435--451 (ps file)
• G. I. Lehrer (with N. Xi), On the injectivity of the braid group in the Hecke algebra. Bull. Aust. Math. Soc. 64 (2001), 487-493 (ps file)
• G. I. Lehrer (with J. Graham), Diagram algebras, Hecke algebras and decomposition numbers at roots of unity. to appear, Ann. Sci. E.N.S. (ps file)
• G.I. Lehrer, (with F. Digne and J. Michel) The space of unipotently supported class functions on a finite reductive group. to appear, J. Algebra (ps file)
• G.I. Lehrer (with J.J. Graham), Cellular algebras and diagram algebras in representation theory. to appear (ps file)
• G.I. Lehrer, Rational points and cohomology of discriminant varieties.
• G.I. Lehrer (with J. Michel), Invariant theory and eigenspaces for unitary reflection groups.
• G.I. Lehrer, A new proof of Steinberg's fixed point theorem. {\sl Int. Math. Res. Not. \bf 28} (2004) 1407--1411.
• G.I. Lehrer and J. van Hamel, Euler characteristics of the real points of certain varieties of algebraic tori. Preprint 2006
• G.I. Lehrer (with M. Kisin), ``Eigenvalues of Frobenius and Hodge numbers''
• G.I. Lehrer (with R.B. Zhang), Strongly multiplicity free modules for Lie algebras and quantum groups.
• G.I. Lehrer (with C. Bonnaf\'e and J. Michel), Twisted invariant theory for reflection groups.