Xie Xun Job Title: Associate Professor E-mail: xiexun@bit.edu.cn
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Lie theory, representation theory, Kazhdan-Lusztig theory. It mainly involves Lie algebras, Lie groups, algebraic groups, quantum groups, Hecke algebras, Coxeter groups and so on.
2012-2015 PhD, University of Chinese Academy of Sciences
2009-2012 East China Normal University Master
2005-2009 Bachelor of Southwest University
2022.09 Till now Beijing University of Technology, Associate Professor and Doctoral Supervisor
2017.09-2022.09 Assistant Professor, Master's Supervisor, Beijing Institute of Technology
2015-2017 Postdoctoral Fellow, Peking University
2018.09-2019.08 University of Sydney Visiting Scholar
[7] F. F. Duan and X. Xie. Cartan Invariants for Witt Lie Superalgebras with p-Characters of Height at Most One. Algebr. Represent. Theory 24 (2021), no. 1, 287–315.
[6] X. Xie. Conjectures P1-P15 for Coxeter groups with complete graph. Adv. Math. 379 (2021), 107565, 62 pp.
[5] J. Gao; X. Xie. Conjectures P1–P15 for hyperbolic Coxeter groups of rank 3. J. Algebra 567 (2021), 139–195.
[4] Z. Bai and X. Xie. Gelfand-Kirillov dimensions of highest weight Harish-Chandra modules for SU(p,q).Int. Math. Res. Not. IMRN, pages 4392–4418, 2019.
[3] X. Xie. The based ring of the lowest generalized two-sided cell of an extended affine Weyl group. J. Algebra, 477:1–28, 2017.
[2] X. Xie. The lowest two-sided cell of a Coxeter group with complete graph. J. Algebra, 489:38–58, 2017.
[1] X. Xie. Decomposition for Kazhdan-Lusztig basis elements of the affine Hecke algebra of type A_{n-1}. J. Pure Appl. Algebra, 221: 1279—1297, 2017.
其他
主持国家自然科学基金:
1.青年项目:与a-函数相关的若干问题
2 . 面上项目:Kazhdan-Lusztig理论中猜想P1-P15的研究