JIE DU's INFORMATION PAGE
Contact Information,
Brief History,
Research interests,
Publications,
Preprints,
Books,
People
Math1141 Tests for Class F09B, F11A
Test 1
Test 2
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
- 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 taught at ECNU (1987-88),
the University of Virginia
(1988-90),
The University of Oklahoma (1991), The University of Sydney
(1991-92) and in 1993, I arrived at UNSW.
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.
Here are all of my papers listed with MathSciNet.
Many of my publications are available on-line.
- J. Du and J. Wan, Presenting queer Schur superalgebras,
Inter. Math. Res. Notices, rnt262, 63 pages.
doi:10.1093/imrn/rnt262.
- J. Du and Q. Fu, Quantum affine gln via Hecke algebras,
Adv. Math. (20 pages) to appear. See also arXiv:1311.1868.
- J. Du and Q. Fu, Small representations for affine q-Schur algebras,
preprint (21 pages).
- J. Du and Q. Fu, The integral quantum loop algebra of gl_n,
preprint (29 pages).
- J. Du and J. Wan, Standard Kleshchev multipartitions and Drinfeld polynomials of integral type,
preprint (35 pages).
- J. Du and H. Gu, Canonical bases for the quantum linear supergroups,
arXiv:1410.0757 (30 pages, revised as of 31 December 2014).
- J. Du, B. Parshall and L. Scott, Extending Hecke endomorphism algebras at roots of unity,
arXiv:1501.06481 (19 pages).
- J. Du and J. Wan, The Q-q-Schur algebra,
preprint (25 pages).
- J. Du. B. Jensen and X. Su, Presenting Hecke endomorphism algebras by Hasse quivers with relations,
preprint (26 pages).
- J. Du and Z. Zhao, Multiplication formulas and canonical bases for quantum affine gl_n,
preprint (27 pages).
- J. Du. H. Gu and J. Wang, Representations in q-Schur superalgebras in positive characteristics,
preprint (24 pages).
- 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, 2008.
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 Note Series, Volume 401,
Cambridge University Press, 2012.
Last updated: 01/02/2017