代数群与量子群及其表示

2004年 华东师范大学获博士学位, 博士导师为王建磐教授.

2010.12-今 同济大学数学系 教授

2007.7-2010.12 同济大学数学系 副教授

2004.10-2007.6 同济大学数学系 讲师

Book:

1. [DDF] Bangming Deng, Jie Du and Qiang Fu, A Double Hall algebra approach to affine quantum Schur--Weyl Theory, London Mathematical Society Lecture Note Series, Volume 401, Cambridge University Press, 2012.

Published Papers:

1. Qiang Fu and Chenquan Sun, Presenting infinitesimal q-Schur algebras, Nagoya Mathematical Journal, DOI 10.1017/nmj.2024.29

2. Qiang Fu and Zhehai Yang, On Frobenius-Lusztig kernels of gl_{m|n}, Journal of Algebra 661 (2025), 218–250

3. Qiang Fu and Mingqiang Liu,Evaluation maps for affine quantum Schur algebras,Journal of Algebra 650 (2024), 23–53.

4. Qiang Fu and Mingqiang Liu, Presenting Lusztig algebras, International Mathematics Research Notices. IMRN 2023, no. 24, 21976–22003.

5. Jie Du, Qiang Fu and Yanan Lin, A realization of the enveloping superalgebra UQ(glˆm|n), Nagoya Mathematical Journal 247 (2022), 516–551.

6. Qiang Fu, On the algebra U(glˆn), Journal of Pure and Applied Algebra 226 (2022), no. 8, Paper No. 107022, 18 pp.

7. Qiang Fu, The comultiplication of modified quantum affine sln, Communications in Contemporary Mathematics 23 (2021), no. 1, Paper No. 1950048, 13 pp.

8. Qiang Fu, Schur-Weyl duality and centers of quantum Schur algebras, Journal of Pure and Applied Algebra 225 (2021), no. 5, Paper No. 106594, 16 pp.

9. Jie Du and Qiang Fu, The Integral quantum loop algebra of gln, International Mathematics Research Notices. IMRN 2019, no. 20, 6179–6215.

10. Qiang Fu and Mingqiang Liu, Presenting affine Schur Algebras, Transactions of the American Mathematical Society 371 (2019), 5487–5503.

11. Qiang Fu, On the hyperalgebra of the loop algebra $\widehat{\frak{gl}}_n$, Journal of Algebra 537 (2019), 245–277.

12. Qiang Fu and Wenting Gao, Presenting integral q-Schur algebras, International Journal of Mathematics 30 (2019) no, 1, 1950002, 14pp.

13. Bangming Deng, Jie Du and Qiang Fu, Structure and representations of the quantum loop algebra of gln. Proceedings of the Seventh International Congress of Chinese Mathematicians. Vol. II, 5–31, Adv. Lect. Math. (ALM), 44, Int. Press, Somerville, MA, 2019.

14. Qiang Fu and Toshiaki Shoji, Positivity properties for canonical bases of modified quantum affine sln, Mathematical Research Letters 25 (2018), 535–559.

15. Qiang Fu, BLM realization for $/mathcal U_{/mathbb Z}(/widehat{gl_n})$, Communications in Contemporary Mathematics 20 (2018): 1750013, 35 pp.

16. Qiang Fu, Affine quantum Schur algebras at roots of unity, International Journal of Mathematics 28 (2017), no. 7, 1750056, 18 pp.

17. Qiang Fu, BLM realization for Frobenius--Lusztig Kernels of type A, Mathematical Research Letters 23 (2016), 1329–1350.

18. Jie Du and Qiang Fu, Small representations for affine q-Schur algebras, Algebras and Representation Theory 19 (2016), 355–376.

19. Jie Du and Qiang Fu, Quantum affine gln via Hecke algebras, Advances in Mathematics 282 (2015), 23–46.

20. Qiang Fu, BLM realization for the integral form of quantum gln, Communications in Contemporary Mathematics 17 (2015), no. 5, 1550019, 17 pp.

21. Qiang Fu, Blocks of affine quantum Schur algebras, Journal of Algebra 419 (2014), 71–94

22. Qiang Fu, Affine quantum Schur algebras and affine Hecke algebras, Pacific Journal of Mathematics 270 (2014), 351–366.

23. Qiang Fu, Canonical bases for modified quantum gln and q-Schur algebras, Journal of Algebra 406 (2014), 308–320.

24. Qiang Fu, Integral affine Schur--Weyl reciprocity, Advances in Mathematics 243 (2013), 1–21.

25. Jie Du, Qiang Fu and Jianpan Wang, Representations of little q-Schur algebras, Pacific Journal of Mathematics 257, (2012), 343–378.

26. Qiang Fu and Qunguang Yang, On the structure of $End_{uk(2)}(Ωk^{/otimes r})$, Journal of Mathematical Physics 52, 083507 (2011) .

27. Jie Du and Qiang Fu, Quantum gln , q-Schur algebras and their infinite/infinitesimal counterparts, Progress in Mathematics, 2011, Volume 284, 93-119.

28. Jie Du and Qiang Fu, A modified BLM approach to quantum affine gln, Mathematische Zeitschrift 266 (2010)，747–781.

29. Qiang Fu, On Schur algebras and little Schur algebras, Journal of Algebra 322 (2009), 1637–1652.

30. Qiang Fu, On bases for infinite little/infinitesimal q-Schur algebras, Archiv der Mathematik 93 (2009), 305–313.

31. Jie Du and Qiang Fu, Quantum gl∞, infinite q-Schur algebras and their representations, Journal of Algebra 322 (2009), 1516–1547.

32. Karin Erdmann and Qiang Fu, Schur--Weyl duality for infinitesimal q-Schur algebras sq(2,r)1, Journal of Algebra 320 (2008), 1099–1114.

33. Qiang Fu, Semisimple Infinitesimal q-Schur algebras, Archiv der Mathematik 90 (2008), 295–303.

34. Qiang Fu, Finite representation type of infinitesimal q-Schur algebras, Pacific Journal of Mathematics 237 (2008), 57–76.

35. Qiang Fu, Tame representation type of infinitesimal q-Schur algebras, Journal of Algebra 320 (2008), 369–386.

36. Qiang Fu, Little q-Schur algebras at even root of units, Journal of Algebra 311 (2007), 202–215.

37. Jie Du, Qiang Fu and Jianpan Wang, Infinitesimal quantum gln and little q-Schur algebras, Journal of Algebra 287 (2005), 199–233.

38. Qiang Fu, Monomial bases for little q-Schur algebras s(2,r), Algebra Colloquium 12 (2005) 413–430.

39. Qiang Fu, A comparison of infinitesimal and little q-Schur algebras, Communications in Algebra 33 (2005), 2663–2682.

主持国家自然科学基金项目6项，其中包括优秀青年基金1项（11322102），面上项目4项（12371032，11671297，11271284，10971154），青年基金1项（10601037）.

参与国家自然科学基金重点项目1 项（排名第二）.

获上海市曙光计划（2016）.

主持霍英东基金基础研究基金 (2013).

入选教育部新世纪人才计划（2010）.

曾经于2005年2月到7月和2006年7月访问牛津大学, 并多次访问新南威尔士大学. 2007年入选同济大学优秀青年教师, 2010年入选同济大学英才计划中的青年教学科研骨干计划, 2012年入选同济大学英才计划中的攀登高层次人才计划.