Publications by Jianbei An

(Most recent first)
  1. (with Charles W. Eaton) Nilpotent blocks of quasisimple groups for the prime two,
    Algebras and Representation Theory, to appear.

  2. (with Heiko Dietrich) The AWC-goodness and essential rank of sporadic simple groups,
    Journal of Algebra, 356 (2012), 325-354.

  3. (with Heiko Dietrich) The enssential rank of classical groups,
    Journal of Algebra, 354 (2012), 148-157.

  4. (with Heiko Dietrich) The essential rank of fusion systems of blocks of symmetric groups,
    International Journal of Algebra and Computation, 22 (2012), 1250002 (15 pages).

  5. (with Gerhard Hiss) Restricting the unipotent characters in finite symplectic groups,
    Communications in of Algebra, 39 (2011), 1104-1130.

  6. (with Charles W. Eaton) Nilpotent blocks of quasisimple groups for odd primes,
    Journal für die reine und angewandte Mathematik, 656 (2011), 131-177.

  7. Controlled blocks of quasisimple groups for odd primes,
    Advances in Mathematics, 227 (2011), 1165-1196.

  8. (with Charles W. Eaton) Blocks with extraspecial defect groups of finite quasisimple groups,
    Journal of Algebra, 328 (2011), 301-321.

  9. (with Shih-Chang Huang and Hiromichi Yamada) Uno's invariant conjecture for the finite symplectic group Sp4(q) in the defining characteristic,
    Communications in of Algebra, 38 (2010), no. 10, 3868-3888.

  10. (with R. A. Wilson) The Alperin weight conjecture and Uno's conjecture for the Monster M, p odd,
    London Mathematical Society Journal of Computation and Mathematics, 13 (2010), 320-356.

  11. (with Shih-Chang Huang ) Uno's invariant conjecture for the finite general unitary group GU4(q) in the defining characteristic,
    International Journal of Algebra and Computation, 20 (2010), 357-380.

  12. (with Frank Himstedt and Shih-Chang Huang) Dade's invariant conjecture for the symplectic group Sp4(2n) and the special unitary group SU4(2n) in definiting characteristic,
    Communications in of Algebra, 38 (2010), 2364-2403.

  13. (with J. Cannon, E. O`Brien and W. Unger) The Alperin and Uno conjectures for the Fischer simple group Fi'24,
    London Mathematical Society Journal of Computation and Mathematics, 11 (2008), 100-145

  14. (with Frank Himstedt and Shih-Chang Huang) Uno's invariant conjecture for Steinberg's triality groups in the defining characteristic,
    Journal of Algebra, 316 (2007), 79-108.

  15. Uno's invariant conjecture for Chevalley groups G2(q) in non-defining characteristics,
    Journal of Algebra, 313 (2007), 429-454.

  16. (with Shih-chang Huang) The character tables of the parabolic subgroups of the Chevalley groups of type G2,
    Commmunications in Algebra, 34 (2006), 1763-1792.

  17. (with Gerhard Hiss) Restricting the Steinberg character in finite symplectic groups,
    Journal of Group Theory, 9 (2006), 251-264.

  18. (with Charles W. Eaton) Modular representation theory of blocks with trivial intersection defect groups,
    Algebras and Representation Theory, 8 (2005), 427-448.

  19. (with Eamonn A. O`Brien) The Alperin and Uno conjectures for the Fischer simple group Fi22,
    Commmunications in Algebra, 33 (2005), 1529-1557.

  20. Uno's invariant conjecture for general linear and unitary groups in nondefining characteristics,
    Journal of Algebra, 284 (2005), 462-479.

  21. (with Charles W. Eaton) Blocks with trivial intersection defect groups,
    Mathematische Zeitschrift, 247 (2004), 461-486.

  22. (with Eamonn A. O`Brien) The Alperin and Dade conjectures for the Conway simple group Co1,
    Algebras and Representation Theory, 7 (2004), 139-158.

  23. (with R. A. Wilson) The Alperin weight conjecture and Uno's conjecture for the Baby Monster B, p odd,
    London Mathematical Society Journal of Computation and Mathematics, 7 (2004), 120-166.

  24. Dade's conjectures for the Chevally groups G2(q) in the defining characteristic, q=2a, 3a,
    Algebra Colloguium, 10 (2003), 519-533.

  25. (with Eamonn A. O`Brien) Conjectures on the character degrees of the Harada-Norton simple group HN,
    Israel Journal of Mathematics, 137 (2003), 157-181.

  26. (with Eamonn A. O`Brien and R. A. Wilson) The Alperin weight conjecture and Dade's conjecture for the simple group J4,
    London Mathematical Society Journal of Computation and Mathematics, 6 (2003), 119-140.

  27. Dade's conjecture for Steinberg triality groups 3D4(q) in non-defining characteristics,
    Mathematische Zeitschrift, 241 (2002), 445-469.

  28. (with Eamonn A. O`Brien) The Alperin and Dade conjectures for the O'Nan and Rudvalis simple groups,
    Commmunications in Algebra, 30 (2002), 1305-1348.

  29. (with Charles W. Eaton) On TI and TI defect blocks,
    Journal of Algebra, 243 (2001), 123-130.

  30. Dade's invariant conjectures for the general linear and unitary groups in non-defining characteristics,
    Transactions of the American Mathematical Society, 353 (2001), 365-390.

  31. (with Charles W. Eaton) The p-local rank of a block,
    Journal of Group Theory, 3 (2000), 369-380.

  32. (with Wujie Shi) The characterization of finite simple groups with no elements of order six by their element orders,
    Commmunications in Algebra, 28 (2000), 3351-3358.

  33. (with Eamonn A. O`Brien) The Alperin and Dade conjectures for the Fischer simple group Fi23,
    International Journal of Algebra and Computation, 9 (1999), 621-670.

  34. The Alperin and Dade conjectures for the simple Conway's third group,
    Israel Journal of Mathematics, 112 (1999), 109-134.

  35. Dade's conjecture for 2-blocks of symmetric groups,
    Osaka Journal of Mathematics, 35 (1998), 417-437.

  36. (with Eamonn A. O`Brien) A local strategy to decide the Alperin and Dade conjectures,
    Journal of Algebra, 206 (1998), 183-207.

  37. The Alperin and Dade conjectures for the Ree groups 2F4(q2) in non-defining characteristics,
    Journal of Algebra, 203 (1998), 30-49.

  38. The Alperin and Dade conjectures for the simple Held group,
    Journal of Algebra, 189 (1997), 34-57.

  39. The Alperin and Dade conjectures for some finite groups,
    RIMS Kokyuroku, 991 (1997), 28-35.

  40. The weights for some finite groups,
    Proceedings of Conference on Representations of Algebra (Japan), 6 (1997), 1-7.

  41. Dade's conjecture for the Tits group,
    New Zealand Journal of Mathematics, 25 (1996), 107-131.

  42. Dade's conjecture for Chevalley groups G2(q) in non-defining characteristics,
    Canadian Journal of Mathematics, 48 (1996), 673-691.

  43. (with Marston Conder) On the numbers of 2-weights, unipotent conjugacy classes, and irreducible Brauer 2-characters of finite classical groups,
    Proceedings of the American Mathematical Society, 123 (1995), 2297-2304.

  44. (with Marston Conder) The Alperin and Dade conjectures for the simple Mathieu groups,
    Commmunications in Algebra, 23 (1995), 2797-2823.

  45. Weights for the Steinberg triality group 3D4(q),
    Mathematische Zeitschrift, 218 (1995), 273-290.

  46. Dade's conjecture for the simple Ree groups 2G2(q2) in non-defining characteristics,
    Indian Journal of Mathematics, 36 (1994), 7-27.

  47. Weights for the Chevalley groups G2(q),
    Proceedings of London Mathematical Society, 69 (1994), 22-46.

  48. Weights for classical groups,
    Transactions of the American Mathematical Society, 342 (1994), 1-42.

  49. Alperin-McKay conjecture for the Chevalley groups G2(q),
    Journal of Algebra, 165 (1994), 184-193.

  50. Weights for the simple Ree groups 2G2(q2),
    New Zealand Journal of Mathematics, 22 (1993), 1-8.

  51. 2-weights for unitary groups,
    Transactions of the American Mathematical Society, 339 (1993), 251-278.

  52. 2-weights for classical groups,
    Journal für die reine und angewandte Mathematik, 439 (1993), 159-204.

  53. 2-weights for general linear groups,
    Journal of Algebra, 149 (1992), 500-527.

  54. (with Xianpu Tang) The isomorphisms of unitary groups over X0-Phi surjective rings,
    Duonbei Mathematics, 3 (1987), 339-349.

  55. (with Xianpu Tang) The structure of unitary groups over X0-Phi surjective rings,
    Chinese Annals of Mathematics Series A, 8 (1987), 155-171.

  56. (with Xianpu Tang) The isomorphism of orthogonal groups over local rings,
    Acta Math. Sinica New Series, 2 (1986), 281-291.

  57. (with Xianpu Tang) The fundamental theorem of unitary geometry over X0-Phi surjective rings,
    Journal of Harbin Engineering University, 3 (1985), 65-72.

  58. (with Xianpu Tang) The structure of symplectic groups over semilocal rings,
    Acta Math. Sinica New Series, 1 (1985), 1-15.

  59. The structure of symplectic groups and two-dimensional linear groups,
    Chinese Annals of Mathematics Series A, 5 (1984), 665-680.

  60. Automorphisms of symplectic groups over semilocal rings of characteristic 2,
    Acta Math. Sinica, 27 (1984), 624-629.

  61. The structure of two-dimensional linear groups over semilocal rings,
    Acta Math. Sinica, 27 (1984), 536-539.

  62. (with Heiko Dietrich) The essential rank of Brauer categories for finite groups of Lie type,
    submitted for publication.

  63. ZJ-controlled blocks of quasisimple groups for odd primes,
    submitted for publication.

  64. Dade's conjectures for the classical groups in non-defining characteristics,
    preprint

Reviews: 32 reviews of mathematical papers written and published in Mathematical Reviews.

Last updated March 2009