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Wilfrid Laurier University Faculty of Science
September 19, 2014
 
 
Canadian Excellence

List of Refereed Papers



  1. R. Lu, V. Mazorchuk, K. Zhao,    CATEGORY O FOR THE SCHRODINGER ALGEBRA, Linear Algebra and Appl., 460 (2014), 17-50.
  2. V. Mazorchuk, K. Zhao, Simple Virasoro modules which are locally finite over a positive part, Selecta Math. (N.S.),  20  (2014),  no. 3, 839-854.
  3. R. Lu, K. Zhao, Irreducible Virasoro modules from irreducible Weyl modules, J. Algebra, 414(2014), 271-287.
  4. B. Cox, X. Guo,  R. Lu,  K. Zhao,  n-Point Virasoro algebras and their modules of densities, Commun. Contemp. Math.  16  (2014),  no. 3, 1350047.
  5. R. Lu, V. Mazorchuk, K. Zhao,    On simple modules over  conformal Galilei algebras, J. of Pure and Applied Algebra, 218 (2014) 1885-1899.
  6. X. Guo,  G. Liu, and K. Zhao, Irreducible Harish-Chandra modules over extended Witt algebras, Arkiv for matematik, 52(2014),  no.1, 99-112.
  7. H. Tan, K. Zhao,  Irreducible Virasoro modules from tensor products (II), J. Algebra, 394(2013), 357-373.
  8. G. Liu, K. Zhao, Irreducible Harish-Chandra modules over the derivation algebras of rational quantum tori, Glasgow J. Math.,  Vol. 55(3), 677-693 (2013).
  9. V. Mazorchuk, K. Zhao, Characterization of simple highest weight modules, Canadian Math. Bull., Vol. 56 (3),   606-614 (2013).
  10.  X. Guo, R. Lu and K. Zhao, Fraction representations and highest-weight-like representations of the Virasoro algebra, J. Algebra, 387(2013), 68-86.
  11. Lianggui Feng,  Kaiming Zhao, Classifying  zeros of quaternionic two-sided polynomials and computing  zeros of two-sided polynomials with complex coefficients,   Pacific Journal of Mathematics, 262-2 (2013), 317–337.
  12. X. Guo, R. Lu, K. Zhao, Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras, Proceedings of the Edinburgh Mathematical Society, (2012)55, 697-709.
  13. J. Morita, K. Zhao, Automorphisms and derivations of Borel subalgebras and their nilradicals in Kac-Moody algebras,  Communications in Contemporary Mathematics, Vol.14, No.2, 63-84(2012).
  14. S. Eswara Rao, K. Zhao, Integrable Representations of Toriodal Lie Algebras Co-ordinatized by Rational Quantum Tori, J. Algebra, 361 , 225-247(2012).
  15. Lianggui Feng, Haijun Tan,  Kaiming Zhao, A generalized Cayley-Hamilton theorem,   Linear Algebra and its Applications, 436, 2440-2445(2012).
  16. Xiangqian Guo, Rencai Lu  and Kaiming Zhao, Irreducible modules over the Virasoro algebra, Documenta Mathematica, 16, 709-721(2011).
  17. G. Liu, K. Zhao, Irreducible  weight modules over derivation algebras of quantum tori,     J. Algebra, Vol.340, 28-34(2011).
  18. X. Guo, R. Lu, K. Zhao, Irreducible Harish-Chandra modules over the loop-Virasoro algebra,   Math Forum, 23, 1029-1052(2011).
  19. X. Guo,  K. Zhao, Irreducible  modules over Witt algebra, Proc. Amer. Math. Soc., Volume 139, Number 7, 2367-2373(2011).
  20. Volodymyr Mazorchuk and Kaiming Zhao, Supports of weight modules over Witt algebras, Proceedings of the Royal Society of Edinburgh, 141A, 155-170(2011).
  21. D. Z. Djokovic, K. Zhao, An octonion algebra originating in combinatorics, Proc. Amer. Math. Soc., 138, 4187-4195(2010).
  22. Xiangqian Guo, Xuewen Liu and Kaiming Zhao, Harish-Chandra modules over the Q Heisenberg-Virasoro Algebra,  J Aust. Math. Soc., Vol.89, 9-15(2010).
  23. R. Lu, K. Zhao, Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra, Commun. Contemp. Math. 12 (2010), no. 2, 183--205.
  24. R. Lu, K. Zhao, Verma modules over quantum torus Lie algebras, Canadian Journal of Mathematics, Vol.62(2), 382-399(2010).
  25. P. Batra, X. Guo, R. Lu, K. Zhao, Highest weight modules over the pre-exp-polynomial algebras,  Journal of Algebra, Vol.322, 4163-4180(2009).
  26. J. Liu, K. Zhao, Automorphism Groups of Lie Algebras from Quantum Tori, ``Recent Developments in Algebra and Related Areas", Advanced Lectures in Mathematics, Volume 8, 201-212(2009).
  27. D.Z. Djokovic,  Kaiming Zhao, Normal forms for orthogonal similarity classes of skew-symmetric matrices,  J. Algebra and its applications, Vol.7, No.5, 1-13(2008).
  28. J. Liu, K. Zhao, Deformed Kac-Moody algebras and their representations, J. Algebra, Vol.319, No.11, 4692-4711(2008).
  29. D.Z. Djokovic, Konstanze Rietsch and Kaiming Zhao, Normal forms for orthogonal similarity classes of skew-symmetric matrices, J. Algebra, Vol.308, 686–703(2007)
  30. Volodymyr Mazorchuk and Kaiming Zhao, Classification of simple weight Virasoro modules with a finite-dimensional weight space, J. Algebra, Vol.307, 209–214(2007).
  31. R. Lu, K. Zhao, Structure of Weyl type Lie algebras, J. Algebra, Vol.306, 209–214(2006).
  32. R. Lu, K. Zhao, Classification of irreducible weight modules over higher rank Virasoro algebras, Advances in Math., Vol.201(2), 630-656(2006).
  33. G. Benkart, X. Xu, K. Zhao, Classical Lie Superalgebras over Simple Associative Algebras, Proc. London Math. Soc., Vol.92, no.3, 581-600(2006).
  34. K. Zhao, Weyl type algebras from quantum tori, Communications in Contemporary Mathematics, Vol.8, no.2, 135-165(2006).
  35. X. Wang, K. Zhao, Verma modules over Virasoro-like algebras, J. Australia Math. Soc., Vol.80,   no.2, 179-191(2006).
  36. D. Z. Djokovic, K. Zhao, Rational Jordan decomposition of bilinear forms, Communications in Contemporary Mathematics, Vol.7, No.6(2005), 769-786.
  37. D. Z. Djokovic, F. Szechtman and K. Zhao, Diagonal plus tridiagonal representatives for symplectic congruence classes of symmetric matrices, Canad. Math. Bull., Vol.48, No.3(2005), 394-404.
  38. D. Z. Djokovic, K. Zhao, Jordan decomposition of bilinear forms, Mathematical Research Letters, Vol.12(2005), 341-356.
  39. S. Eswara Rao, K. Zhao, Highest weight irreducible representations of  rank 2 quantum tori, Mathematical Research Letters, Vol.11, No.5-6, 615-628(2004).
  40. K. Zhao,  Weight modules over generalized Witt algebras with 1-dimensional weight spaces, Forum Math., Vol.16, No.5, 725-748(2004).
  41. S. Eswara Rao, K. Zhao, On integrable representations for toroidal Lie superalgebras. Kac-Moody Lie algebras and related topics, 243--261, Contemp. Math., 343, Amer. Math. Soc., Providence, RI, 2004.
  42. D. Z. Djokovic,  K. Zhao,  Real division algebras with large automorphism group, J. Algebra, 282(2004), 758-796.
  43. D. Z. Djokovic,  K. Zhao,  Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices, Linear Algebra Appl., 384(2004), 77-84.
  44. Y. Billig, K. Zhao, Vertex operator representations of quantum tori at roots of unity, Communications in Contemporary Mathematics, Vol. 6, No. 1 (2004) 195-220.
  45. Y. Billig, K. Zhao, Weight modules over exp-polynomial Lie algebras,  J. Pure Appl. Algebra, Vol.191, 23-42(2004).
  46. D. Z. Djokovic, K. Zhao, Real homogeneous algebras as truncated division algebras and their automorphism groups, Algebra Colloquium, Vol.11, No.1, 11-20(2004).
  47. Y. Su, K. Zhao, Structure of Algebras of Weyl Type, Comm. Algebra, 32 (2004), 1051-1059.
  48. D. Z. Djokovic, K. Zhao, Invariant theory for non-associative real two-dimensional algebras and its applications, Transformation Groups, Vol.9, No.1, 3-23(2004).
  49. Y. Su, K. Zhao, L. Zhu, Classification of derivation simple color algebras, J. Math. Phys., Vol 45, No. 1 (2004), 525-536.
  50. K. Zhao,  Simple Lie color algebras from associative algebras, J. Algebra, Vol.269,  439-455(2003).
  51. Y. Su, K. Zhao, L. Zhu, Simple Lie color algebras of Weyl type, Israel J. Math., 137(2003), 109-123.
  52. D. Z. Djokovic, F. Szechtman and K. Zhao, An algorithm that carries a square matrix into its transpose by an involutory congruence transformation, Electron. J. Linear Algebra, 10 (2003), 223--231(2003).
  53. J. M. Osborn and K. Zhao, Infinite dimensional Lie algebras of type L, Comm. Algebra, Vol.31, no.5, 2445-2469(2003).
  54. J. Hu, X. Wang, K. Zhao, Verma modules over generalized Virasoro algebras Vir[G], J. Pure Appl. Algebra, 177(1), 61-69(2003).
  55. K. Zhao, Automorphism Witt type Lie algebras in characteristic 0, J. Capital Normal University, 24(2003) 1, 5-9.
  56. Y. Su, J. Zhang, K. Zhao, Z imes Z-graded Lie algebras generated by the Virasoro algebra and sl$_2$, Monatch. Math., 246/247 (2002), 188-201.
  57. K. Zhao, Simple algebras of Weyl type, II, Proc. Amr. Math. Soc., 130(2002), 1323-1332.
  58. Y. Su, K. Zhao, Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series, J Algebra, 252(1): 1-19(2002)
  59. R. Lu, K. Zhao, Automorphism groups of Weyl-type algebras, Manuscripta math., 107(2002) 2, 207-214.
  60. Y. Su, K. Zhao, Second cohomology group of generalized Witt type Lie algebras and certain representations, Comm. Algebra, 30(7), 3285-3309(2002).
  61. Y. Su, K. Zhao, Isomorphism classes and automorphism groups of algebras of Weyl type, Sci. China, Ser.A, 45 (2002), no.8, 953--963.
  62. J. M. Osborn, K. Zhao, Z imes Z-graded Lie algebras containing a Virasoro algebra and a Heisenberg algebra., Comm. Algebra 29(2001), no.14, 1677-1707.
  63. Y. Su, K. Zhao, Simple algebras of Weyl type, Sci. China, Ser.A, 44(2001), no.4, 419-426.
  64. K. Zhao, A class of infinite dimensional simple Lie algebras, J. London Math. Soc.(2), 62(2000), No.1, 71-84.
  65. K. Zhao, Generalized Cartan type S Lie algebras in characteristic zero (II), Pacific J. Math., 192(2000), No.2, 431-454.
  66. J. M. Osborn, K. Zhao,ZXZ-graded Lie algebras containing a Heisenberg algebra. Nonassociative algebra and its applications (São Paulo, 1998), 259--274, Lecture Notes in Pure and Appl. Math., 211, Dekker, New York, 2000.
  67. J. M. Osborn, K. Zhao, Characterizations of some loop algebras, J. Algebra, 221(1999), 345-359.
  68. J. M. Osborn, K. Zhao, Doubly Z-graded Lie algebras containing a Virasoro algebra, J. Algebra, 219(1999), 266-298.
  69. D. Z. Djokovic, K. Zhao, Second cohomology of Generalized Cartan type $S$ Lie algebras in characteristic zero, J. Pure Appl. Algebra, 136(1999), 101-126.
  70. K. Zhao, Centers of down-up algebras, J. Algebra, Vol.214, 103-121(1999).
  71. J. M. Osborn, K. Zhao, Infinite dimensional Lie algebras of generalized Block type, Proc. Amer. Math. Soc., Vol.127, No.6, 1641-1650(1999).
  72. J. M. Osborn, K. Zhao, Generalized Poisson bracket and Lie algebras of type H in characteristic 0, Math. Z., Vol.230, 107-143(1999).
  73. J. M. Osborn, K. Zhao, Doubly Z-graded Lie algebras containing a Heisenberg algebra. Algebra, 11. J. Math. Sci. (New York) 93 (1999), no. 6, 928--938.
  74. J. M. Osborn, K. Zhao, A characterization of the Block Lie algebra and its q-forms in characteristic 0, J. Algebra, Vol.207, 367-408(1998).
  75. K. Zhao, Isomorphisms between generalized Cartan type W Lie algebras in characteristic zero, Canadian J. Math., Vol.50(1), 210-224(1998).
  76. D.Z. Djokovic, K. Zhao, Derivations, isomorphisms, and second cohomology of generalized Witt algebras, Trans. Amer. Math. Soc., Vol.350(2), 643-664(1998).
  77. D.Z. Djokovic, K. Zhao, Some infinite-dimensional simple Lie algebras in characteristic 0 related to those of Block, J. Pure Appl. Algebra, Vol.127(2), 153-165(1998).
  78. D. Z. Djokovic, K. Zhao, Generalized Cartan type W Lie algebras in characteristic zero, J. Algebra, Vol.195, 170-210(1997).
  79. D. Z. Djokovic, K. Zhao, Generalized Cartan type S Lie algebras in characteristic zero, J. Algebra, Vol.193, 144-179(1997).
  80. D. Z. Djokovic, K. Zhao, Some simple subalgebras of generalized Block algebras, J. Algebra, Vol.192, 74-101(1997).
  81. K. Zhao, The q-Virasoro-like algebra, J. Algebra, 188(1997), 506-512.
  82. J. M. Osborn, K. Zhao, Generalized Cartan type K Lie algebras in characteristic 0, Comm. Algebra, 25(1997), 3325-3360.
  83. K. Zhao, Indices of Weyl groups in orthogonal groups for Kac-Moody algebras, Comm. Algebra, 25(4), 1199-1204(1997).
  84. K. Zhao, Indexes of the Weyl groups in the orthogonal groups of some Kac-Moody algebras, Comm. Algebra 25 (1997), no. 4, 1199-1204.
  85. C. Lu, K. Zhao, Structures of Weyl groups of some Kac-Moody algebras, Northeast. Math. J. 13 (1997), no. 2, 177--180.
  86. Y. Jia, K. Zhao, Some notes on higher rank Virasoro algebras, (Chinese) Kexue Tongbao (Chinese) 41 (1996), no. 20, 1832-1834.
  87. K. Zhao, Reflections in root lattices for Kac-Moody algebras, J. Algebra, Vol.180, 691-697(1996).
  88. K. Zhao, C. Lu, C. Liu, Weyl groups of some Kac-Moody algebras, J. Algebra, Vol.179, 200-207(1996).
  89. H. Zhang, K. Zhao, Representations of the Virasoro-like algebra and its q-analog, Comm. Algebra, 24(14), 4361-4372(1996).
  90. K. Zhao, Weight sets of irreducible integrable representations of Kac-Moody algebras of indefinite type, Comm. Algebra, 24(14), 4373-4383(1996).
  91. K. Zhao, The Lie algebras of derivations of polynomial deformation algebras of sl(2, C), A Chinese summary appears in Acta Math. Sinica 39 (1996), no. 1, 140. Acta Math. Sinica (N.S.) 11 (1995), Special Issue, 8-17.
  92. K. Zhao, H. Zhang, Representations of Weyl algebras, J. Math. Res. Exposition 16 (1996), no. 2, 159--166.
  93. D. Z. Djokovic, K. Zhao, Derivations, isomorphisms, and second cohomology of generalized Block algebras, Algebra Colloquium, Vol.3, No.3, 245-272(1996).
  94. K. Zhao, Representations of the Virasoro algebra (I), J. Algebra, Vol.176(1995), 882-907.
  95. K. Zhao, Automorphisms of polynomial algebras in two indeterminates over integral domains, (Chinese) Chinese Ann. Math. Ser. A 16 (1995), no. 4, 488-494.
  96. H. Du, K. Zhao, A property of polynomials, (Chinese) Math. Practice Theory 1994, no. 4, 24-25.
  97. H. Zhang, K. Zhao, Root systems of a class of Kac-Moody algebras, Algebra Colloq. 1 (1994), no. 4, 359-368.
  98. K. Zhao, The classification of a kind of irreducible Harish-Chandra modules over algebras of differential operators, (Chinese) Acta Math. Sinica 37 (1994), no. 3, 332-337.
  99. K. Zhao, Quasirational automorphisms of finite-dimensional simple Lie algebras, (Chinese) Kexue Tongbao (Chinese) 35 (1990), no. 1, 8-11.