付强 - 同济大学 - 数学科学学院

个人简介

教育背景 2004年华东师范大学获博士学位, 博士导师为王建磐教授工作经历 2004.10-2007.6 同济大学数学系讲师 2007.7-2010.12 同济大学数学系副教授 2010.12-今同济大学数学系教授科研项目主持国家自然科学基金青年基金项目《小q-Schur代数的表示和仿射量子群》(10601037) 主持国家自然科学基金面上项目《代数群和量子群中的若干问题》(10971154) 入选教育部新世纪人才计划 (NCET-10-0628) 主持霍英东基金基础研究基金, (131004) 主持国家自然科学基金面上项目《量子群及相关代数的表示理论》(11271284) 主持优秀青年科学基金项目《代数群、量子群及其表示论》(11322102) 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。

研究领域

代数群, 量子群及其表示

近期论文

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Book [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. Papers [DF19] Jie Du and Qiang Fu, The Integral quantum loop algebra of gln, Int. Math. Res. Not. IMRN 2019, no. 20, 6179-6215. [FL] Qiang Fu and Mingqiang Liu, Presenting affine Schur Algebras, Trans. Amer. Math. Soc. 371 (2019), 5487-5503. [Fu19] Qiang Fu, On the hyperalgebra of the loop algebra $/widehat{/frak{gl}}_n$. J. Algebra 537 (2019), 245-277. [FG] Qiang Fu and Wenting Gao, Presenting integral q-Schur algebras, Internat. J. Math. 30 (2019) no, 1, 1950002, 14pp. [FS] Qiang Fu and Toshiaki Shoji, Positivity properties for canonical bases of modified quantum affine sln, Math. Res. Lett., 25 (2018), 535-559. [Fu18] Qiang Fu, BLM realization for $/mathcal U_{/mathbb Z}(/widehat{gl_n})$, Commun. Contemp. Math. 20 (2018): 1750013, 35 pp. [Fu17] Qiang Fu, Affine quantum Schur algebras at roots of unity, Internat. J. Math. 28 (2017), no. 7, 1750056, 18 pp. [Fu16] Qiang Fu, BLM realization for Frobenius--Lusztig Kernels of type A, Math. Res. Lett. 23 (2016), 1329--1350. [DF16] Jie Du and Qiang Fu, Small representations for affine q-Schur algebras, Algebr. Represent. Theory 19 (2016), 355--376. [DF15] Jie Du and Qiang Fu, Quantum affine gln via Hecke algebras, Adv. Math. 282 (2015), 23--46. [Fu15] Qiang Fu, BLM realization for the integral form of quantum gln. Commun. Contemp. Math. 17 (2015), no. 5, 1550019, 17 pp. [Fu14a] Qiang Fu, Blocks of affine quantum Schur algebras. J. Algebra 419 (2014), 71--94 [Fu14b] Qiang Fu, Affine quantum Schur algebras and affine Hecke algebras. Pacific J. Math. 270 (2014), 351–366. [Fu14c] Qiang Fu, Canonical bases for modified quantum gln and q-Schur algebras, J. Algebra 406 (2014), 30--320. [Fu13] Qiang Fu, Integral affine Schur--Weyl reciprocity, Adv. Math. 243 (2013), 1--21. [DFW12] Jie Du, Qiang Fu and Jianpan Wang, Representations of little q-Schur algebras, Pacific J. Math. , 257, (2012), 343-378. [FY11] Qiang Fu and Qunguang Yang, On the structure of $End_{uk(2)}(Ωk^{/otimes r})$, J. Math. Phys. 52, 083507 (2011) . [DF11] Jie Du and Qiang Fu, Quantum gln , q-Schur algebras and their infinite/infinitesimal counterparts, Progress in Mathematics, 2011, Volume 284, 93-119. [DF10] Jie Du and Qiang Fu, A modified BLM approach to quantum affine gln, Math Z. 266 (2010)，747–781. [Fu09a] Qiang Fu, On Schur algebras and little Schur algebras, J. Algebra 322 (2009), 1637-1652. [Fu09b] Qiang Fu, On bases for infinite little/infinitesimal q-Schur algebras, Arch. Math. 93 (2009), 305-313. [DF09] Jie Du and Qiang Fu, Quantum gl∞, infinite q-Schur algebras and their representations, J. Algebra 322 (2009), 1516-1547. [EF08] Karin Erdmann and Qiang Fu, Schur--Weyl duality for infinitesimal q-Schur algebras sq(2,r)1, J. Algebra 320 (2008), 1099-1114. [Fu08a] Qiang Fu, Semisimple Infinitesimal q-Schur algebras, Arch. Math. 90 (2008), 295-303. [Fu08b] Qiang Fu, Finite representation type of infinitesimal q-Schur algebras, Pacific J. Math. 237 (2008), 57-76. [Fu08c] Qiang Fu, Tame representation type of infinitesimal q-Schur algebras, J. Algebra 320 (2008), 369-386. [Fu07] Qiang Fu, Little q-Schur algebras at even root of units, J. Algebra 311 (2007), 202-215. [DFW05] Jie Du, Qiang Fu and Jianpan Wang, Infinitesimal quantum gln and little q-Schur algebras, J. Algebra 287 (2005), 199-233. [Fu05a] Qiang Fu, Monomial bases for little q-Schur algebras s(2,r), Algebra Colloq. 12 (2005) 413-430. [Fu05b] Qiang Fu, A comparison of infinitesimal and little q-Schur algebras, Comm. Algebra 33 (2005), 2663-2682.