BIMSA > 朱永昌
教授 朱永昌

单位: 清华丘成桐数学科学中心, 北京雁栖湖应用数学研究院

团队: 数论和表示论

办公室: A15-208

邮箱: zhuyongchang@bimsa.cn

研究方向: 表示论, 数学物理

研究兴趣

  • 表示论
  • 顶点代数
  • 共形场论
  • 圈群
  • 自守形式

教育经历

  • - 1984      北京大学      B.Sc.
  • - 1990      耶鲁大学      Mathematics      Ph.D

工作经历

  • 2025 -      北京雁栖湖应用数学研究院      Professor
  • 2025 -      清华大学丘成桐数学科学中心      Professor
  • 2008 - 2025      香港理工大学      Professor
  • 2000 - 2008      香港理工大学      Associate Professor
  • 1995 - 1999      香港理工大学      Assistant Professor
  • 1994 - 1994      马克斯·普朗克研究所      Member
  • 1993 - 1994      普林斯顿高等研究院      Member
  • 1990 - 1993      加州理工学院      Division Research Fellow

出版物

  • [1] Y Chen, Y Zhu, Theta liftings for (GLn, GLn) type dual pairs of loop groups, Advances in Mathematics, 478, 110417 (2025)
  • [2] Y Chen, Y Zhu, Weil representations of twisted loop groups of type, Forum Mathematicum, 37(6), 1621-1640 (2025)
  • [3] X Dai, Y Zhu, A Construction of Representations of Loop Group and Affine Lie Algebra of 𝖘 𝖑 n, Algebras and Representation Theory, 25(3), 649-668 (2022)
  • [4] D Liu, Y Zhu, Theta lifting for loop groups, Duke Mathematical Journal, 171(13), 2799-2840 (2022)
  • [5] Y Chen, Y Zhu, Theta liftings for $(\mathrm{GL}_n,\mathrm{GL}_n)$ type dual pairs of loop groups, arXiv (2021)
  • [6] Y Zhu, Addition formula and γ-factors for local fields, Journal of Number Theory, 198, 52-73 (2019)
  • [7] X Dai, Y Zhu, Linear topological modules over vertex algebras, arXiv (2019)
  • [8] Z Fu, Y Zhu, Selberg integral over local fields, Forum Mathematicum, 31(5), 1085-1095 (2019)
  • [9] D Liu, Y Zhu, LCA (2), Weil index, and product formula, Advances in Mathematics, 329, 1088-1136 (2018)
  • [10] Y Zhu, Contemporary Mathematics Volume 610, 2014, Perspectives in Representation Theory, 370, 353 (2014)
  • [11] Y Zhu, Weil representations and theta functionals on surfaces, Perspectives in representation theory, 610, 353-370 (2014)
  • [12] Y Sommerhäuser, Y Zhu, On the central charge of a factorizable Hopf algebra, Advances in Mathematics, 236, 158-223 (2013)
  • [13] Y Sommerhäuser, Y Zhu, Hopf algebras and congruence subgroups, Mem. Am. Math. Soc., 1028, 1-130 (2012)
  • [14] H Garland, Y Zhu, On the Siegel-Weil theorem for loop groups, II, American journal of mathematics (2011)
  • [15] H Garland, Y Zhu, On the Siegel-Weil theorem for loop groups, I, Duke Math. J., 157(2), 283-336 (2011)
  • [16] D Liu, Y Zhu, On the theta functional of Weil representations for symplectic loop groups, Journal of Algebra, 324(11), 3115-3130 (2010)
  • [17] Y Zhu, Theta functions and Weil representations of loop symplectic groups, Duke Math. J., 143(1), 17-39 (2008)
  • [18] Y Kashina, Y Sommerhäuser, Y Zhu, On higher Frobenius-Schur indicators, Mem. Am. Math. Soc., 181(855) (2006)
  • [19] Y Kashina, Y Sommerhauser, YC Zhu, On higher Frobenius-Schur indicators-Introduction, Mem. Am. Math. Soc., 181(855), 1-+ (2006)
  • [20] Y Zhu, Theta functions and Weil representations of algebraic loop symplectic groups, Duke Mathematical Journal, 143(1) (2006)
  • [21] Y Kashina, Y Sommerhäuser, Y Zhu, Self-dual modules of semisimple Hopf algebras, Journal of Algebra, 257(1), 88-96 (2002)
  • [22] Y Zhu*, The dimension of irreducible modules for transitive module algebras, Communications in Algebra, 29(7), 2877-2886 (2001)
  • [23] JH Lu, M Yan, Y Zhu, On Hopf algebras with positive bases, Journal of Algebra, 237(2), 421-445 (2001)
  • [24] JH Lu, M Yan, Y Zhu, MR1816697 (2002b: 16056) 16W30, J. Algebra, 237(2), 421-445 (2001)
  • [25] JH Lu, M Yan, Y Zhu, Contemporary Mathematics Volume 267, 2000, New Trends in Hopf Algebra Theory: Proceedings of the Colloquium on Quantum … (2000)
  • [26] JH Lu, M Yan, Y Zhu, Quasi-triangular structures on Hopf algebras with positive bases, New Trends in Hopf Algebra Theory, 339-356 (2000)
  • [27] JH Lu, M Yan, YC Zhu, On the set-theoretical Yang-Baxter equation, Duke Math. J., 104(1), 1-18 (2000)
  • [28] M Yan, Y Zhu, Stabilizer for Hopf algebra actions, Communications in Algebra, 26(12), 3885-3898 (1998)
  • [29] Y Zhu, A commuting pair in Hopf algebras, Proceedings of the American Mathematical Society, 125(10), 2847-2851 (1997)
  • [30] Y Zhu, Modular invariance of characters of vertex operator algebras, Journal of the American Mathematical Society (1996)
  • [31] Y Zhu, Global vertex operators on Riemann surfaces, Commun. Math. Phys., 165, 485-531 (1994)
  • [32] Y Zhu, Hopf algebras of prime dimension, International Mathematics Research Notices, 1994(1), 53-59 (1994)
  • [33] IB Frenkel, Y Zhu, Vertex operator algebras associated to representations of affine and Virasoro algebras, Duke Math. J., 66(1), 123-168 (1992)
  • [34] Y Zhu, Vertex operator algebras, elliptic functions and modular forms, Yale University (1990)

 

更新时间: 2025-09-15 17:00:10