Jie Du's information pages

Publications

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• J. Du, A note on quantized Weyl reciprocity at roots of unity, Alg. Colloq., 2 (1995), 363-372. Postscript version
• J. Du, Canonical bases for irreducible representations of quantum $GL_n$, II, J. London Math. Soc., 51 (1995), 461-470.
• J. Du, $q$-Schur algebras, asymptotic forms and quantum $SL_n$, J. Algebra} , 177 (1995), 385-408.
• J. Du, Global IC bases for quantum linear groups, Journal of Pure and Applied Algebra, 114 (1996), 25-37.
• J. Du, Cells in certain sets of matrices, T\^ohoku Math. J. 48 (1996), 417-427.
• R. Dipper and J. Du, Harish-Chandra vertices and Steinberg's tensor product theorem of general linear groups in non-describing characteristic, Proc. London Math. Soc., 75 (1997), 559-599.
• J. Du, B. Parshall and L. Scott, Stratifying endomorphism algebras associated to Hecke algebras, J. Algebra, 203 (1998), 169-210.
• J. Du, B. Parshall and L. Scott, Cells and $q$-Schur algebras, J. Transformation Groups, 3 (1998), 33-49.
• J. Du, B. Parshall and L. Scott, Quantum Weyl reciprocity and tilting modules, Communications in Mathematical Physics, 195 (1998), 321-352.
• J. Du and H. Rui, Based algebras and standard bases for quasihereditary algebras, Transactions Amer. Math. Soc., 350 (1998), 3207-352.
• J. Du, A new proof for the canonical bases of type $A$, Algebra Colloquium , 6 (1999), 377-383.
• J. Du and H. Rui, Borel type subalgebras for the $q$-Schur$^m$ algebras, J. Algebra , 213 (1999), 567-595.
• J. Du and L. Scott, The $q$-Schur$^2$ algebra, Transactions Amer. Math. Soc., 352 (2000), 4355-4369.
• J. Du and H. Rui, Ariki-Koike algebras with semisimple bottoms, Math. Zeit. 234 (2000), 807-830.
• J. Du and L. Scott, Stratifying $q$-Schur algebras of type $D$, Representations and Quantizations (Shanghai, 1998), 167-197, China High. Educ. Press, Beijing, (2000). Postscript version
• J. Du and H. Rui, Specht modules for Ariki-Koike algebras, Comm. Algebra, 29 (2001), 4701-4719.
• J. Du, Generalised $q$-Schur algebras and the ways to approach them, Modular representation theory of finite groups (Charlottesville, VA, 1998), 189--210, de Gruyter, Berlin, 2001.
• J. Du and P. Parshall, Monomial bases for q_Schur algebras, Transactions Amer. Math. Soc., 355 (2003), 1593-1620.
• J. Du and P. Parshall, Linear quivers and the geometric setting of quantumGL_n, Indag. Math., 13 (2002), 459-481.
• J. Du, Finite dimensional algebras and standard systems, Alg. Represent. Theory, 6 (2003), 461-474.
• J. Du and Z. Lin, Stratifying algebras with near-matrix algebras, J. Pure Appl. Algebra, 188 (2004) 59-72.
• J. Du, Finite dimensional algebras, quantum groups and finite groups of Lie type, Fields Institute Communications, 40 (2004),225-244.
• B. Deng and J. Du, Monomial bases for quantum affine $sl_n$, Advances in Mathematics, 191 (2005),276-304.
• J. Du, Q. Fu, and J.-p. Wang, Infinitesimal quantum $gl_n$ and little $q$-Schur algebras, J. Algebra 287 (2005),199-233.
• B. Deng and J. Du, On bases of quantized enveloping algebras, Pacific J. Math.. 220 (2005), 33-48
• B. Deng and J. Du, Frobenius morphisms and representtations of algebras, Trans. Amer. Math. Soc.. 359(2006), 2591-3622.
• B. Deng and J. Du, Algebras, representations and their derived categories over finite fields, Contemp. Math., 413(2006),25-41.
• J. Du, Robinson-Schensted algorithm and Vogan equivalence,J. Comb. Theory (Series A) 112(2006), 165-172.
• B. Deng, J. Du and J. Xiao, Generic extensions and canonical bases for cyclic quivers, Canadian J. Math. 59(2007), 1260-1283.
• B. Deng and J. Du, Folding derived categories with Frobenius functors, J Pure App. Algebra 208(2007), 2591-3622.
• J. Du and H. Rui, Multiparameter cells of finite Coxeter groups, AMS/IP Studies in Advanced Mathematics, Proceedings of the International Conference on Complex Geometry and Related Fields, Amer. Math. Soc. 39 (2007), 77-87.
• B. Deng, J. Du and G. Zhang, Linear quivers, generic extensions and Kashiwara operators, Indag. Math. (N.S.), 18(2007), 3--31.
• B. Deng, J. Du, B. Parshall and J.-p. Wang, Finite dimensional algebras and quantum groups,
  Mathematical Surveys and Monographs Volume 150 (763+ pages), The American Mathematical Society.
  
• J. Du and B. Shu, Representations of finite Lie algebras, J. Algebra to appear(2008).