中国科学技术大学2018年博士生导师简介:陈洪佳
陈洪佳单位:数学科学学院
地址:管理科研楼1529
邮编:230026
电话:0551-63607693
Email: hjchen@ustc.edu.cn
个人主页: http://staff.ustc.edu.cn/~hjchen/
实验室介绍:
个人简历
Personal resume
学习工作经历
2011.07—2014.02 劳里埃大学 访问 加拿大
2009.07—2011.06 阿尔伯塔大学 博士后 加拿大
2008.09—2009.06 约克大学 博士后 加拿大
2003.09—2008.07 中国科学技术大学 博士
1999.09—2003.07 中国科学技术大学 学士
研究领域
李代数及其量子化在过去三十多年里极大地推动了现代数学,尤其是代数学的发展。我们的主要研究兴趣是无穷维李代数、量子群、量子toroidal代数和Yangians的结构和表示理论,他们是复单李代数和仿射Kac-Moody代数或相应包络代数的自然推广,在数学和数学物理中起着重要的作用。特别地,我们非常关心Virasoro代数及其相关李(超)代数的结构和表示理论。
研究方向
Research direction
1、无穷维李代数
2、量子群
3、李超代数
招生信息
Enrollment information
论文专著
The monographResearcher ID
1) B(0,N)-graded Lie superalgebras coordinatized by quantum tori - Science in China Series A: Mathematics - 200611 - Vol. 49,No.11
2) BC_N-graded Lie algebras arising from fermionic representations - Journal of Algebra - 200702 - Vol. 308,No. 2
3) Central extensions of Steinberg Lie superalgebras of small rank - Communications in Algebra - 200712 - Vol. 35, No. 12
4) Classification of graded left-symmetric algebraic structures on Witt and Virasoro algebras - International Journal of Mathematics - 201102 - Vol. 22, No. 2
5) Left-symmetric algebraic structures on the W-algebra W(2;2) - Linear Algebras and its Applications - 201210 - Vol. 437, No. 7
6) Twisted affine Lie superalgebra of type Q and quantization of its enveloping superalgebra - Mathematische Zeitschrift - 201210 - Vol. 272, No. 1-2
7) Central extensions of matrix Lie superalgebras over Z/2Z-graded algebras - Algebras and Representation Theory - 201304 - Vol. 16, No. 2
8) A family of representations of the Lie superalgebra gl_{1|l-1}(C_q) - Journal of Algebra - 201307 - Vol. 386
9) Unitary Harish-Chandra modules over Block type Lie algebras B(q) - Journal of Lie Theory - 201309 - Vol. 23, No. 3
10) Tensor product weight modules over the Virasoro algebra - Journal of the London Mathematical Society - 201309 - Vol. 88, No. 3
11) New simple modules for the Heisenberg-Virasoro algebra - Journal of Algebra - 201309 - Vol. 390
12) Twisted Yangians, twisted quantum loop algebras and affine Hecke algebras of type BC - Transactions of the American Mathematical Society - 201401 - Vol. 366
13) Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra - Science in China Series A: Mathematics - 201403 - Vol. 57, No. 3
14) Irreducible Harish-Chandra modules over a class of Lie algebras of Block type - The Asian Journal of Mathematics - 201411 - Vol. 18, No. 5