Professor Jie Du

Jie Du is a Professor in the School of Mathematics and Statistics.

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RESEARCH INTERESTS

Prof Du is a member of the School's Algebra and Number Theory and Combinatorics research groups. His interests lie in the representation theories on algebraic and quantum groups, finite groups of Lie type, finite dimensional algebras, and related topics. His recent works focus mainly on quantum supergroups, i-quantum groups, q-Schur algebras of super type, and their associated Schur-Weyl duality. He is also interested in combinatorics arising from generalised symmetric groups, Kazhdan-Lusztig cells and representations of finite algebras.

Phone

9385 7087

E-mail

j.du@unsw.edu.au

Location

School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Red Centre Room RC-4113

Books | 2012

Deng B; Du J; Fu Q, 2012, A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory, Original, Cambridge University Press, UK

Books | 2008

Deng B; Du J; Parshall B; Wang J, 2008, Finite Dimensional Algebras and Quantum Groups, Original, American Mathematical Society, USA
Book Chapters | 2010

Du J; Fu Q, 2010, 'Quantum gln, q-Schur algebras and their infinite/infinitesimal counterparts', in Gyoja A; Nakajima H; Shinoda K; Shoji T; Tanisaki T (ed.), Representation Theory of Algebraic Groups and Quantum Groups, Birkhauser, New York, pp. 93 - 119
Journal articles | 2022

Du J; Fu Q; Lin Y, 2022, 'A REALIZATION OF THE ENVELOPING SUPERALGEBRA μℚ(glm', Nagoya Mathematical Journal, 247, pp. 516 - 551,

Journal articles | 2022

Du J; Lin Y; Zhou Z, 2022, 'Quantum queer supergroups via υ-differential operators', Journal of Algebra, 599, pp. 48 - 103,

Journal articles | 2022

Du J; Wan J, 2022, 'Standard multipartitions and a combinatorial affine Schur-Weyl duality', Journal of Pure and Applied Algebra, 226,

Journal articles | 2022

Du J; Wu Y, 2022, 'A new realisation of the i-quantum group U^ȷ(n)', Journal of Pure and Applied Algebra, 226,

Journal articles | 2022

Du J; Wu Y, 2022, 'THE i-QUANTUM GROUP U^ı (n)', Pacific Journal of Mathematics, 320, pp. 61 - 101,

Journal articles | 2020

Du J; Lin Y; Zhou Z, 2020, 'Polynomial super representations of U-q(res) (gl(m vertical bar n)) at roots of unity', JOURNAL OF ALGEBRAIC COMBINATORICS, 51, pp. 195 - 235,

Journal articles | 2020

Du J; Lin Y; Zhou Z, 2020, 'Polynomial super representations of Uqres(glm', Journal of Algebraic Combinatorics, 51, pp. 195 - 235,

Journal articles | 2020

Du J; Zhou Z, 2020, 'The regular representation of Uυ(Glm', Proceedings of the American Mathematical Society, 148, pp. 111 - 124,

Journal articles | 2020

Du JIE; Gu H; Zhou Z, 2020, 'MULTIPLICATION FORMULAS and SEMISIMPLICITY for q-SCHUR SUPERALGEBRAS', Nagoya Mathematical Journal, 237, pp. 98 - 126,

Journal articles | 2019

Deng B; Du J; Yang G, 2019, 'Slim cyclotomic q-Schur algebras', Journal of Algebra, 535, pp. 365 - 406,

Journal articles | 2019

Du J; Fu Q, 2019, 'The Integral Quantum Loop Algebra of gln', International Mathematics Research Notices, 2019, pp. 6179 - 6215,

Journal articles | 2018

Du J; Haixia G, 2018, 'q-Schur superalgebras', SCIENTIA SINICA Mathematica, 48, pp. 1571 - 1571,

Journal articles | 2018

Du J; Parshall BJ; Scott LL, 2018, 'Local and global methods in representations of Hecke algebras', Science China Mathematics, 61, pp. 207 - 226,

Journal articles | 2018

Du J; Wan J, 2018, 'The queer q-Schur superalgebra', Journal of the Australian Mathematical Society, 105, pp. 316 - 346,

Journal articles | 2018

Du J; Zhao Z, 2018, 'Multiplication formulas and canonical bases for Quantum Affine Gln', Canadian Journal of Mathematics, 70, pp. 773 - 803,

Journal articles | 2017

Du J; Gu H; Wang J, 2017, 'Representations of q-Schur superalgebras in positive characteristics', Journal of Algebra, 481, pp. 393 - 419,

Journal articles | 2017

Du J; Jensen BT; Su X, 2017, 'Presenting Hecke endomorphism algebras by Hasse quivers with relations', Journal of Pure and Applied Algebra, 221, pp. 883 - 907,

Journal articles | 2017

Du J; Parshall BJ; Scott LL, 2017, 'Stratifying endomorphism algebras using exact categories', JOURNAL OF ALGEBRA, 475, pp. 229 - 250,

Journal articles | 2017

Du J; Parshall BJ; Scott LL, 2017, 'Stratifying endomorphism algebras using exact categories', Journal of Algebra, 475, pp. 229 - 250,

Journal articles | 2016

Du J; Fu Q, 2016, 'Small Representations for Affine q-Schur Algebras', Algebras and Representation Theory, 19, pp. 355 - 376,

Journal articles | 2015

Du J; Fu Q, 2015, 'Quantum affine gln via Hecke algebras', Advances in Mathematics, 282, pp. 23 - 46,

Journal articles | 2015

Du J; Gu H, 2015, 'Canonical bases for the quantum supergroups U(glm', Mathematische Zeitschrift, 281, pp. 631 - 660,

Journal articles | 2015

Du J; Parshall BJ; Scott LL, 2015, 'Extending hecke endomorphism algebras', Pacific Journal of Mathematics, 279, pp. 229 - 254,

Journal articles | 2015

Du J; Wan J, 2015, 'Presenting queer Schur Superalgebras', International Mathematics Research Notices, 2015, pp. 2210 - 2272,

Journal articles | 2014

Du J; Gu H; Wang J, 2014, 'Irreducible representations of q-Schur superalgebras at a root of unity', Journal of Pure and Applied Algebra, 218, pp. 2012 - 2059,

Journal articles | 2014

Du J; Gu H, 2014, 'A realisation of the quantum supergroup U(glm', Journal of Algebra, 404, pp. 60 - 99,

Journal articles | 2013

Deng B; Du J, 2013, 'Identification of simple representations for affine q-Schur algebras', Journal of Algebra, 373, pp. 249 - 275,

Journal articles | 2012

Du J; Fu Q; Wang J, 2012, 'Representations of little q-Schur algebras', Pacific Journal of Mathematics, 257, pp. 343 - 378

Journal articles | 2011

Du J; Rui H, 2011, 'Quantum Schur superalgebras and Kazhdan-Lusztig combinatorics', Journal of Pure and Applied Algebra, 215, pp. 2715 - 2737,

Journal articles | 2010

Deng B; Du J, 2010, 'Presenting degenerate Ringel-Hall algebras of cyclic quivers', Journal of Pure and Applied Algebra, 214, pp. 1787 - 1799,

Journal articles | 2010

Du J; Deng B, 2010, 'Tight monomials and the monomial basis property', Journal of Algebra, 324, pp. 3355 - 3377,

Journal articles | 2010

Du J; Fu Q, 2010, 'A modified BLM approach to quantum affine gln', Mathematische Zeitschrift, 266, pp. 747 - 781,

Journal articles | 2009

Du J; Fu Q, 2009, 'Quantum g iota(infinity) infinite q-Schur algebras and their representations', Journal of Algebra, 322, pp. 1516 - 1547

Journal articles | 2009

Du J; Fu Q, 2009, 'Quantum gl∞, infinite q-Schur algebras and their representations', Journal of Algebra, 322, pp. 1516 - 1547,

Journal articles | 2009

Du J; Shu B, 2009, 'Representations of finite Lie algebras', Journal of Algebra, 321, pp. 3197 - 3225,

Journal articles | 2007

Deng B; Du J; Xiao J, 2007, 'Generic extensions and canonical bases for cyslic quivers', Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 59, pp. 1260 - 1283

Journal articles | 2007

Deng B; Du J; Zhang G, 2007, 'Linear quivers, generic extensions and Kashiwara operators', Indagationes Mathematicae - New Series, 18, pp. 3 - 21

Journal articles | 2007

Deng B; Du J, 2007, 'Folding derived categories with Frobenius functors', Journal of Pure and Applied Algebra, 208, pp. 1023 - 1050

Journal articles | 2006

Deng B; Du J, 2006, 'Algebras, representations and their derived categories over finite fields', Contemporary Mathematics, 413, pp. 25 - 41,

Journal articles | 2006

Deng B; Du J, 2006, 'Frobenius morphisms and representations of algebras', Transactions of the American Mathematical Society, 358, pp. 3591 - 3622

Journal articles | 2005

Deng B; Du J, 2005, 'Bases of quantized enveloping algebras', Pacific Journal of Mathematics, 220, pp. 33 - 48

Journal articles | 2005

Deng B; Du J, 2005, 'Monomial bases for quantum affine', Advances in Mathematics, 191, pp. 276 - 304,

Journal articles | 2005

Du J; Fu Q; Wang J, 2005, 'Infinitesimal quantum and little q-Schur algebras', Journal of Algebra, 287, pp. 199 - 233,

Journal articles | 2005

Du J, 2005, 'Robinson-Schensted algorithm and Vogan equivalence', Journal of Combinatorial Theory Series A, 112, pp. 165 - 172,

Journal articles | 2004

Du J; Lin Z, 2004, 'Stratifying algebras with near-matrix algebras', Journal of Pure and Applied Algebra, 188, pp. 59 - 72

Journal articles | 2003

Du J; Parshall B, 2003, 'Monomial bases for q-Schur algebras', Transactions of the American Mathematical Society, 355, pp. 1593 - 1620,

Journal articles | 2003

Du J, 2003, 'Finite-dimensional algebras and standard systems', Algebras and Representation Theory, 6, pp. 461 - 474

Journal articles | 2002

Du J; Parshall B, 2002, 'Linear quivers and the geometric setting of quantum GLn', Indagationes Mathematicae - New Series, 13, pp. 459 - 481

Journal articles | 2001

Du J; Rui H, 2001, 'Specht modules for ariki-koike algebras', Communications in Algebra, pp. 4701 - 4719

Journal articles | 2000

Du J; Rui H, 2000, 'Ariki-Koike algebras with semisimple bottoms', Mathematische Zeitschrift, pp. 807 - 830

Journal articles | 2000

Du J; Scott LM, 2000, 'The q-Schur2 algebras', Transactions of the American Mathematical Society, pp. 4325 - 4353

Journal articles | 1999

Du J; Rui H, 1999, 'Borel type subalgebras of the q-Schur m algebra', Journal of Algebra, 213, pp. 567 - 595,

Journal articles | 1999

Du J, 1999, 'A new proof for the canonical bases of type A', Algebra Colloquium, 6, pp. 377 - 383

Journal articles | 1998

Du J; Parshall B; Scott LM, 1998, 'Cells and q-Schur algebras', Transformation Groups, pp. 33 - 49

Journal articles | 1998

Du J; Parshall B; Scott LM, 1998, 'Quantum Weyl reciprocity and tilting modules', Communications in Mathematical Physics, 195, pp. 321 - 352,

Journal articles | 1998

Du J; Parshall B; Scott LM, 1998, 'Stratifying endomorphism algebras associated to Hecke algebras', Journal of Algebra, 203, pp. 169 - 210

Journal articles | 1998

Du J; Rui H, 1998, 'Based algebras and standard bases for Quasi-Hereditary algebras', Transactions of the American Mathematical Society, pp. 3207 - 3235

Journal articles | 1997

Dipper R; Du J, 1997, 'Harish-Chandra vertices and Steinberg`s tensor product theorems for finite general linear groups', Proceedings of the London Mathematical Society, 3rd Series, 75, pp. 559 - 599,

Journal articles | 1996

Du J, 1996, 'Cells in certain sets of matrices', Tohoku Mathematical Journal, 48, pp. 417 - 427,

Journal articles | 1996

Du J, 1996, 'Global IC bases for quantum linear groups', Journal of Pure and Applied Algebra, 114, pp. 25 - 37,

Journal articles | 1995

Du J, 1995, 'A note on quantized Weyl reciprocity at roots of unity', Algebra Colloquium, 2, pp. 363 - 372

Journal articles | 1995

Du J, 1995, 'Canonical bases for irreducible representations of quantum GLn, II', Journal of the London Mathematical Society - Second Series, 51, pp. 461 - 470,

Journal articles | 1995

Du J, 1995, 'Q-Schur algebras, asymptotic forms and quantum SLn', Journal of Algebra, 177, pp. 385 - 408,

Journal articles | 1994

Du J; Scott L, 1994, 'Lusztig conjectures, old and new, I', Journal fur die Reine und Angewandte Mathematik, 1994, pp. 141 - 182,

Journal articles | 1993

Dipper R; Du J, 1993, 'Harish-Chandra vertices', Journal fur die Reine und Angewandte Mathematik, 1993, pp. 101 - 130,

Journal articles | 1993

Dipper R; Du J, 1993, 'Trivial and Alternating Source Modules of Hecke Algebras of Type A', Proceedings of the London Mathematical Society, s3-66, pp. 479 - 506,

Journal articles | 1992

Du J; Du J, 1992, 'The green correspondence for the representations of hecke algebras of type Ar-1', Transactions of the American Mathematical Society, 329, pp. 273 - 287,

Journal articles | 1992

Du J; Du J, 1992, 'The modular representation theory of q-schur algebras', Transactions of the American Mathematical Society, 329, pp. 253 - 271,

Journal articles | 1992

Du J, 1992, 'Canonical bases for irreducible representations of quantum GLn', Bulletin of the London Mathematical Society, 24, pp. 325 - 334,

Journal articles | 1992

Du J, 1992, 'Integral Schur algebras for GL 2', Manuscripta Mathematica, 75, pp. 411 - 427,

Journal articles | 1991

Du J; Wang JP, 1991, 'Two-parameter quantum linear groups and the hyperbolic invariance of q-schur algebras', Journal of the London Mathematical Society, s2-44, pp. 420 - 436,

Journal articles | 1991

Du J, 1991, 'The modular representation theory of q-Schur algebras. II', Mathematische Zeitschrift, 208, pp. 503 - 536,
Conference Papers | 2016

Du J, 2016, 'Structure and representations of the quantum loop algebra', in Proceedings of The 7th International Congress of Chinese Mathematicians, Beijing, China, presented at 7th International Congress of Chinese Mathematicians, Beijing, China, 06 April 2016 - 11 August 2016

Conference Papers | 2011

Du J, 2011, 'Structure and representations of affine q-Schur algebras', in Proceedings of Symposia in Pure Mathematics, Vol 86, American Mathematical Society, University of Virginia, pp. 137 - 158, presented at Southeastern Lie Theory Workshop: Finite and Algebraic Groups, University of Virginia, 01 June 2011 - 04 June 2011

Conference Papers | 2010

Deng B; Du J; Mah A, 2010, 'Generic extensions and composition monoids of cyclic quivers', in Chari V; Greenstein J; Misra KC; Raghavan KN; Viswanath S (eds.), Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory, American Mathematical Society, Bangalore, India, pp. 99 - 114, presented at International Congress of Mathematicians Satellite Conference Algebraic and Combinatorial Approaches to Represenation Theory, Bangalore, India, 12 August 2010 - 16 August 2010

Conference Papers | 2004

Du J; Rui H, 2004, 'Multi-parameter cells of finite Coxeter groups', in International Conference on Complex Geometry and Related Fields, International Conference on Complex Geometry and Related Fields, Shanghai, presented at International Conference on Complex Geometry and Related Fields, Shanghai

Conference Papers | 2002

Du J, 2002, 'Finite Dimensional Algebras, Quantum Groups and Finite Groups of Lie Type', in Fields Institute Communications, Fields Institute Communications, Toronto, USA, presented at Fields Institute Communications, Toronto, USA

Conference Papers | 1998

Du J; Scott LM, 1998, 'Stratifying q-Schur algebras', in international conference on representation theory, international conference on representation theory, Shanghai, China, presented at international conference on representation theory, Shanghai, China, 29 June 1998 - 03 July 1998

Conference Papers | 1998

Du J, 1998, 'Generalised q-Schur algebras and the ways to approach them', in Collins MJ; Parshall BJ; Scott LL (eds.), A symposium held at the University of Virginia, WALTER DE GRUYTER GMBH, Virginia, pp. 189 - 210, presented at a symposium held at the University of Virginia, Virginia, 08 May 1998 - 15 May 1998,

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Professor Jie Du