學習工作經歷
2011.07—2014.02 勞里埃大學 訪問 加拿大
2009.07—2011.06
阿爾伯塔大學 博士後 加拿大
2008.09—2009.06 約克大學 博士後 加拿大
1999.09—2003.07 中國科學技術大學 學士
研究領域
李代數及其量子化在過去三十多年裡極大地推動了現代數學,尤其是代數學的發展。我們的主要研究興趣是無窮維李代數、量子群、量子toroidal代數和Yangians的結構和表示理論,他們是復單李代數和仿射Kac-Moody代數或相應包絡代數的自然推廣,在數學和數學物理中起著重要的作用。特別地,我們非常關心Virasoro代數及其相關李(超)代數的結構和表示理論。
研究方向
1、無窮維李代數
2、量子群
3、李超代數
論文專著
(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