Faculty

Current position： Home Faculty Associate Professor Content

Educational level		Professional titles	Associate Professor
Professional titles	075526538957	Email	xiaow@szu.edu.cn
Address	Room 413,Huixing Building	Personal Profile
Educational experience		Work experience
Research Field	Lee theory, representation theory	Honors obtained
Academic Programs		Scientific research	[1]Zhanqiang Bai, Wei Xiao and Xun Xie, Gelfand-kirillov dimensions and associated varieties of highest weight modules, Int. Math. Res. Not., 2022. [2]Wei Xiao; Ailin Zhang, Jantzen coefficients and simplicity of parabolic Verma modules, J. Algebra 611 (2022), 24–64. [3]Jun Hu and Wei Xiao, On radical filtrations of parabolic Verma modules, to appear in Math. Res. Lett. [4]JingSong Huang, Wei Xiao, Dirac cohomology and orthogonality relations for weight modules, Pacific J. Math. 319 (2022), no. 1, 129–152. [5]Zhanqiang Bai, Wei Xiao, Reducibility of generalized Verma modules for Hermitian symmetric pairs, J. Pure Appl. Algebra 225 (2021), no. 4, Paper No. 106561. [6]Wei Xiao, Differential-operator representations of Weyl group and singular vectors in Verma modules, Sci. China Math. 61(2018), 1013–1038. [7]Wei Xiao, Leading weight vectors and homomorphisms between generalized Verma modules, J. Algebra 430(2015), 62–93. [8]JingSong Huang and Wei Xiao, Dirac cohomology of highest weight modules, Selecta Math. (N.S.) 18(2012), 803–824.

Xiao Wei

[1]Zhanqiang Bai, Wei Xiao and Xun Xie, Gelfand-kirillov dimensions and associated varieties of highest weight modules, Int. Math. Res. Not., 2022. [2]Wei Xiao; Ailin Zhang, Jantzen coefficients and simplicity of parabolic Verma modules, J. Algebra 611 (2022), 24–64. [3]Jun Hu and Wei Xiao, On radical filtrations of parabolic Verma modules, to appear in Math. Res. Lett. [4]JingSong Huang, Wei Xiao, Dirac cohomology and orthogonality relations for weight modules, Pacific J. Math. 319 (2022), no. 1, 129–152. [5]Zhanqiang Bai, Wei Xiao, Reducibility of generalized Verma modules for Hermitian symmetric pairs, J. Pure Appl. Algebra 225 (2021), no. 4, Paper No. 106561. [6]Wei Xiao, Differential-operator representations of Weyl group and singular vectors in Verma modules, Sci. China Math. 61(2018), 1013–1038. [7]Wei Xiao, Leading weight vectors and homomorphisms between generalized Verma modules, J. Algebra 430(2015), 62–93. [8]JingSong Huang and Wei Xiao, Dirac cohomology of highest weight modules, Selecta Math. (N.S.) 18(2012), 803–824.