何济位

姓名：何济位

职称：教授

邮箱：jiweihe@163.com

研究领域: 非交换代数

科研情况：

基金情况：

国家自然科学基金面上项目：Gorenstein不变子代数和非交换Klein奇点的范畴刻画，No. 11971141, 2020.01-2023.12. 主持

浙江省自然科学基金面上项目：不变子代数的奇点表示和Poisson整序，No.LY19A010011,2019.01-2021.12. 主持

国家自然科学基金面上项目：分次Calabi-Yau代数的有限群作用及其不变子代数，No.11571239，2016.01-2019.12. 主持

浙江省自然科学基金面上项目：分次凝聚代数的Gorenstein性质及其形变, No. LY12A01013, 2012.01-2013.12. 主持

浙江省钱江人才项目：二次代数的形变和辛反射代数，No. 2011R10051, 2011.08-2013.12. 主持

教育部留学归国基金：Koszul代数的形变和Calabi-Yau性质，43批，2012.01-2013.12. 主持

国家自然科学基金青年项目：Calabi-Yau代数和非交换代数几何中若干相关问题的研究. No. 10801099, 2009.01-2011.12. 主持

Publications：

J.-W. He, X.-J. Xia, Constructions of graded Frobenius algebras, J. Algebra Appl. Vol. 19(5) (2020), 2050081.

J.-W. He, Y. Zhang, Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions, Contemp. Math. 728 (2019), 119-235.

X.-F. Mao, Y.-N. Yang, J.-W. He, Derived Picard groups of homologically smooth Koszul DG algebras, J. Algebra 531 (2019), 283-319.

Y.-H. Bao, J.-W. He, J. J. Zhang, Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras, J. Noncommut. Geom. 13 (2019), 667-710.

J.-W. He, Y. Zhang, Local cohomology associated to the radical of a group action on a Noetherian algebra, Isr. J. Math., DOI: 10.1007/s11856-019-1855-9, 2019.

Y.-H. Bao, J.-W. He, J. J. Zhang, Noncommutative Auslander Theorem, Trans. Amer. Math. Soc. 370 (2018), 8613-8638.

Mao, X.-F.; He, J.-W.; Liu, M.; Xie, J.-F., Calabi-Yau properties of nontrivial Noetherian DG down-up algebras. J. Algebra Appl. 17 (2018).

Mao, Xue Feng; He, Ji Wei, A special class of Koszul Calabi-Yau DG algebras. (Chinese) Acta Math. Sinica (Chin. Ser.) 60 (2017), no. 3, 475–504.

J.-W. He, X.-F. Mao, Connected cochain DG algebras of Calabi-Yau dimension 0, Proc. Amer. Math. Soc. 145 (2017), 937-953.

J.-W. He, F. Van Oystaeyen, Y. Zhang, Hopf dense Galois extensions with applications, J. Algebra 476 (2017), 134-160.

J.-W. He, F. Van Oystaeyen, Y. Zhang, Deformations of Koszul algebras over a nonsemisimple ring, Math. Z. 279 (2015), 185-210.

J.-W. He, F. Van Oystaeyen, Y. Zhang, Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras, Proc. Amer. Math. Soc., 143 (2015), 1423-1434.

J.-W. He, F. Van Oystaeyen, B. Torrecilas, Y. Zhang, Dualizing complexes of Noetherian complete algebras via coalgebras, Comm. Algebra 42 (2014), 271-285.

J.-W. He, F. Van Oystaeyen, Y. Zhang, Deformations of Koszul Artin-Schelter Gorenstein algebras, Manuscripta Math. 141 (2013), 463-483.

J.-W. He, F. Van Oystaeyen, Y. Zhang, Skew polynomial algebras with coefficients in Artin-Schelter regular algebras, J. Algebra 390 (2013), 231-249.

J.-W. He, F. Van Oystaeyen, Y. Zhang, Calabi-Yau algebras and their deformations, Bull. Math. Soc. Sci. Math. Roumanie Tome 56(104) (3) (2013), 335-347.

J.-W. He, Y. Ye, Finite dimensional Koszul algebras and Beilinson algebras, preprint, 2012.

J.-W. He, F. Van Oystaeyen, B. Torrecilas, Y. Zhang, Calabi-Yau coalgebras, Comm. Algebra 39 (2011), 4644-4661.

X.-L. Yu, J.W. He, Indecomposable Calabi-Yau objects of stable module categories of finite type, Chin. Ann. Math. (B) 32 (2011), 793-802.

J.-W. He, S. Zhang, Deformations of quadratic algebras with anti-symmetric relations, Comm. Algebra 39 (2011), 2137-2149.

J.-W. He, F. Van Oystaeyen, Y. Zhang, Hopf algebra actions on differential graded algebras and applications, Bulletin of Belgian Math. Soc. 18 (2011), 99-111.

J.-W. He, F. Van Oystaeyen, Y. Zhang, Cocommutative Calabi-Yau Hopf algebras and deformations, J. Algebra 324 (2010), 1921-1939.

J.-W. He, F. Van Oystaeyen, Y. Zhang, Derived H-module endomorphism rings, Glasgow Math. J. 52 (2010), 649-661.

J.-W. He, Q.-S. Wu, Koszul differential graded algebras and BGG correspondence II, Chinese Ann. Math. Series B 31 (2010), 133-144.

J.-W. He, Q.-S. Wu, Koszul differential graded modules, Science in China Series A 52 (2009), 2027-2035.

J.-W. He, Q.-S. Wu, Koszul differential graded algebras and BGG correspondence, J. Algebra 320 (2008), 2934-2962.

J.-W. He, Q.-S. Wu, Koszul differential graded algebras and modules, Ring Theory (2007), 69-91. Proceedings of 5th China-Japa-Korea International Symposium on Ring Theory.

Ji-Wei He, Yu Ye, On the Yoneda Ext-algebras of semiperfect algebras, Algebra Colloq. 15, 207-222, 2008 .

Jia-Feng Lu, Ji-Wei He, Di-Ming Lu, Piece-wise Koszul algebras, Science in China 50, 1795-1804, 2007.

Jia-Feng Lu, Ji-Wei He, Di-Ming Lu，On modules with d-Koszul towers，Chinese Ann. Math. A 28(2), 231-238, 2007.

Ji-Wei He, Di-Ming Lu, Higher Koszul algebras and A-infinity algebras, J. Algebra 293(2)，335-362，2005.

He Jiwei，A theory of deformation of module algebras, Acta Math. Sinica 47(5), 947-956, 2004 (in Chinese).

He Jiwei, Maurer-Cartan equation of A∞-algebras, Applied Math. A Journal of Chinese Univ. 19(1), 27-36, 2004.

He Jiwei, D-equations and (H,A)-dimodules, Northeast. Math. J. 19(3), 224-230，2003.

He Jiwei，On the relations among the Pengtagon equation, Hopf module and bialgebra，J. Zhejiang Univ. (Science edition) 30(1), 7-11, 2003 (in Chinese).