Libin Li s Curriculum Vitae

Size: px

Start display at page:

Download "Libin Li s Curriculum Vitae"

Geraldine Potter
6 years ago
Views:

1 Libin Li s Curriculum Vitae Persional Information Name: Libin Li Birthdate: 15 June 1964 Nationality: P. R. China Marital status: Married (Wife: Mei Zhang, Son: Xiang Li ) Current Mailing Address Department of Mathematics Yangzhou University Yangzhou P. R. China Tel:(+86) FAX: (+86) lbli324@yahoo.com Education and Degrees : Graduated at the Yangzhou University with a Master degree (Advisors: Prof. Fang Hongjing and Cai Chuanren) : Graduated at University of Science and Technology of China with a Ph.D. Dissertation: Quantum Groups, Twisted Hopf algebras and Ringel-Hall algebras. (Advisors: Li Shangzhi and Zhang Pu). 1

2 Employment History : Assistant, Yangzhou University : Lecturer, Yangzhou University : Associate Professor, Yangzhou University : Research Assistant(VW), Bielefeld University (advisor: C. M. Ringel) : Visiting Professor, Taiwan University (invited by Prof. Mingchang Kang ) : Post-Doctor(Leverhulme Trust), Leicester University (invited by Prof. S. Koenig) Present: Professor, Yangzhou University : Visiting Professor, Koeln University (invited by Prof. S. Koenig). Research Interests Deformation of Lie algebras and Lie super-algebras Hopf algebras, Ringel-Hall algebras, graded algebras and non-commutative algebraic geometry Schur algebras, classical groups and invariant theory Weyl algebras and Isomorphism problems Foundation National Natural Science Foundation of China (Grant No ), National Natural Science Foundation of China (Grant No ), Selected Publications MC2 rings and WQD rings, Glasg. Math. J, 51(2009),

3 Strong DS rings, Southeast Asian Bull. Math, 33(2009), Stable ideals of the locally finite subalgebra of the quantum group U q (f(k)), J. Math. Study, 42(2009), (joint with X. J.Zhang) A class of standard bases of polynomial algebras and its applications, J. Math. Res. Exposition, 29(2009), (joint with J. C. Dong). The Killing form of a Hopf algebra and its radical. Arab. J. Sci. Eng. Sect. Theme Issues, 33(2008), (joint with Z. H. Wang and H. X. Chen). Frobenius property of a cosemisimple Hopf algebra, J. Math. Res. Exposition, 27(2007), (joint with J. C. Dong and L. Dai) Comparing Lusztig s algebras and Hall algebras at v=-1, J. Algebra, 305(2006), (joint with S. Koenig). Presentation of Quantum generalized Schur algebra, Algebra and its applications, 4(2005), Self-dual Hopf quiverscomm.algebra, 33(2005), (joint with H. L.Huang and Y. Ye). Unique decomposition of the ideals in quantum group U q (sl(2)),chinese Ann. Math. Ser. A, 25(2004), (joint with J. H. Sun). Constructing indecomposable representations over quantum group U q (sl(2)). Archiv der Mathematik. 80 (2003), The coradical filtration for double Ringel-Hall Algebras. Comm. Alg. 31 (2003), Graded antisimple primitive radical. Acta Math. Sin. (Eng. Ser). 18 (2002), Colored Ringel-Hall algebras: applications to quantized Borcherds superalgebras. Representations of algebras. Proceedings of the Ninth International conference, Beijing, 2000, , Beijing Normal University Press, (joint with P.Zhang) Quantum groups by Ore extension associated with group algebras. J. Math. Res. Exposition. 2 (2002), (joint with S.Z.Li ). K 1 -groups of finite dimensional path algebras. Acta Math. Sin.(Eng. Ser). 17(2001), (joint with X. J. Guo). Irreducible representation of quantum group V q (sl(2)), J. Math. 21(2001),

4 The non-negative part of quantum group U q (sl(2). J. Math. Study. 34(2001), (joint with G. G. Fu). Weight property for ideals of U q (sl(2)). Comm. Algebra. 29(2001), (joint with P. Zhang). Quantum comodule approach the solution of the quantum Yang-Baxter equation. Acta. Math. Sci.(English Ed). 20, (joint with S. Z. Li). Quantum Yang-Baxter modules and a generalized notion of the Drinfeld quantum double. Representations and quantizations (Shanghai,1998), , China. High. Educ. Press and Springer, (joint with S. Z. Li). Quantum adjoint action for U q (sl(2)). Algebra Colloq. 7(2000), (joint with P. Zhang). Twisted Hopf algebras, Ringel-Hall algebras and Green s categories. With an appendix by the referee. J. Algebra. 231(2000), (joint with P. Zhang) Solution to the Yang-Baxter equation and quantum Yang-Baxter H-comodules. J. Math. Res. Exposition. 19((1999), Recent Preprints Isomorphisms and automorphisms of quantum groups. (joint with J. T. Yu) Quantum symmetric polynomials and the center of U q (sl 4 ). (joint with J. Y. Wu) The R-matrix for Hopf Ore extension. (joint with Z. H. Wang) Quasi-normal rings. (joint with J. C. Wei) Poincaré Series and an application to Weyl algebras. (Joint with Z. H. Wang) On holonomic A 1 module k[x, p 1 ]. (joint with Z. H. Wang) Quantum Weyl polynomials and the center of U q (sl 3 ). (joint with J. Y. Wu) Hopf Ore extension over dihedral group. (joint with Q. S. Cheng) Other research activities International Workshop on Quantized Algebra and Physics, Nankai University 4

5 Workshop and conference on algebras and representation, Shanghai, Jiaotong University Then AMS Shanghai meeting, Fudan University The 11th conference of algebra in China, Hunan, China Workshop on Categorification, Quantization and Clusters, China Lecture in the algebra seminar of the University of Koeln, Germany Lecture in the algebra seminar of the University of Koeln, Germany International Asia Link Conference on Algebras and Representations, Beijing Normal University, China Workshop on Homology, Geometry, and Combinatorics of Representations, Sino-German Science Center, Beijing, China Lecture in the seminar of group theory at the University of Aachen, Germany Perspectives in mathematics: algebras and representations, Bielefeld, Germany Lecture in the seminar at the University of Oxford, England Lecture in workshop on noncommutation algebra, University of Warwick, England Representation theory and its application, the University of Uppsala, Sweden Lecture at the seminar of representation theory at Xiamen University, China Lecture at the algebra seminar at the University of Leeds, England Lecture at the algebra seminar at Beijing Normal University, China Summer School: Homological Conjectures for Finite-dimensional algebras, Nordfjordeid, Norway Algebraic Groups in Vogue, the University of Bielefeld, Germany Lecture at the algebra seminar at the University of Aachen, Germany International Conference on Representations of Algebras, Beijing, China National Conference in Algebra of China, Beijing, China International Conference on Representation Theory, East China Normal University, China. 5

SELF-DUAL HOPF QUIVERS

Communications in Algebra, 33: 4505 4514, 2005 Copyright Taylor & Francis, Inc. ISSN: 0092-7872 print/1532-4125 online DOI: 10.1080/00927870500274846 SELF-DUAL HOPF QUIVERS Hua-Lin Huang Department of