Pure Mathematics

JIE DU's INFORMATION PAGE

Contact Information, Brief History, Research interests, Publications, Preprints, Book, People

Math1081 Tests for Class T14B

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Links

School's Home Page MathSciNet, AMS Combined Menbership List, MathSubjClas2000, UCDavis ArXive, Journal of AustMS.

International Conference on Representation Theory, IV (July 16-20 2007, Lhasa, China) **International Conference on Representation Theory, VI (June 18-23 2013, Zhangjiajie, China)**

Recent Papers in Representation Theory, in Quantum Algebras, in Ring and Algebras

Contact information

Office: Room 4113, Red Centre
Email:: j.du@unsw.edu.au.; jied@maths.unsw.edu.au
Telephone:: +61 - 2 - 9385 7087; +61 - 2 - 9385 7003 (Pure Mathematics Office)
Fax:: +61 - 2 - 9385 7123
Mail:: School of Mathematics; University of New South Wales; UNSW Sydney 2052; Australia

My undergraduate work was at Suzhou University, China (1977-81). I completed my PhD in 1987 at East China Normal University. Since then, I have taught at ECNU (1987-88), the University of Virginia (1988-90), The University of Oklahoma (1991), Sydney University (1991-92) and in 1993, I arrived at UNSW.

Research Interests

My interests lie in the representation theories on algebraic and quantum groups, finite groups of Lie type, finite dimensional algebras, and related topics. My recent work has concentrated mainly on the Ringel-Hall approach to quantum groups and q-Schur and generalised q-Schur algebras and their associated monomial and canonical basis theory. I am also interested in combinatorics arising from generalised symmetric groups, Kazhdan-Lusztig cells and representations of finite algebras and Lie algebras.

Publications

Here are all of my papers listed with MathSciNet.

Many of my publications are available on-line.

Preprints

J. Du and Q. Fu, Quantum $gl_n$, $q$-Schur algebras and their infinite/infinitesimal counterparts , Nagoya Conference Proceedings. PS version
B. Deng, J. Du and A. Mah, Presenting degenerate Ringel-Hall algebras of cyclic quivers, J. Pure Appl. Algebra 214 (2010) 1787-1799.
J. Du and Q. Fu, A modified BLM approach to quantum affine $gl_n$, Math. Zeit. 226(4) (2010), 747-781.
B. Deng and J. Du, Tight monomials and the monomial basis property, J. Algebra 324 (2010) 3355-3377.
J. Du and H. Rui, Quantum Schur Superalgebras and Kazhdan-Lusztig Combinatorics, J. Pure Appl. Algebras 215 (2011) 2715-2737.
B. Deng, J. Du and Q. Fu, A double Hall algebra approach to affine quantum Schur-Weyl theory, preprint (168 pages).
J. Du, Q. Fu and J.-p. Wang, Representations of little q-Schur algebras, Pacific J. Math., to appear. (29 pages).
J. Du, Structures and representations of affine q-Schur algebras, preprint (22 pages).
J. Du and Q. Fu, Small representations for affine q-Schur algebras, preprint (21 pages).
B. Deng and J. Du, Identification of simple representations for affine q-Schur algebras, preprint (24 pages).

Books

B. Deng, J. Du, B. Parshall and J.-p. Wang, Finite dimensional algebras and quantum groups,
Mathematical Surveys and Monographs Volume 150 (759+ pages), The American Mathematical Society.
Reviews: AMS Bulletin MathSciNet Errata
B. Deng, J. Du, and Q. Fu, A double Hall algebra approach to affine quantum Schur-Weyl theory,
London Math. Soc. Lecture Notes Series, Cambridge University Press, 2012 (to appear)

Last updated: 13/02/2012