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胡峻

  • 职称：正高级
  • 所属院系：数学与统计学院  
  • 成果数量：35条，属于本单位的个人成果35条

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[外文期刊] On the minimal elements in conjugacy classes of the complex reflection group G(r, 1, n) SCIE

作者： Hu, Jun1;Shi, Xiaolin2;Shi, Lei2 （1Beijing Inst Technol, Sch Math & Stat, Key Lab Algebra Lie Theory & Anal, Minist Educ, Beijing 100081, Peoples R China.;2Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China.）

出处： JOURNAL OF PURE AND APPLIED ALGEBRA 2024 Vol.228 No.6

关键词： HECKE ALGEBRAS; DECOMPOSITION NUMBERS; ROOTS; BASES

摘要： In this paper we study the minimal length elements in conjugacy classes (abbreviated as minimal elements) of the complex reflection group G(r, 1, n). ...

[外文期刊] ON THE MAXIMAL AND MINIMAL DEGREE COMPONENTS OF THE COCENTER OF THE CYCLOTOMIC KLR ALGEBRAS EI

作者： Hu, Jun1; Shi, Lei2 （1Key Laboratory of Algebraic Lie Theory and Analysis of Ministry of Education, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China;2School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2024

[外文期刊] SKEW CELLULARITY OF THE HECKE ALGEBRAS OF TYPE G(l, p, n) SCIE

作者： Hu,Jun1;Mathas,Andrew2;Rostam,Salim3; （1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;2School of Mathematics and Statistics, University of Sydney, 2006, NSW, Australia;3Univ. Rennes, CNRS, IRMAR - UMR 6625, Rennes, F-35000, France）

出处： Representation Theory 2023 Vol.27 P508-573

摘要： This paper introduces (graded) skew cellular algebras, which generalise Graham and Lehrers cellular algebras. We show that all of the main results fro ...

[外文期刊] Piecewise dominant sequences and the cocenter of the cyclotomic quiver Hecke algebras SCIE

作者： Hu, Jun1;Shi, Lei2; （1MIIT Key Laboratory of Mathematical Theory and Computation in Information Security, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;2School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;）

出处： Mathematische Zeitschrift 2023 Vol.303 No.4

摘要： In this paper we study the cocenter of the cyclotomic quiver Hecke algebra RαΛ associated to an arbitrary symmetrizable Cartan matrix A=(aij)i,j∈I, Λ ...

[外文期刊] Trace forms on the cyclotomic Hecke algebras and cocenters of the cyclotomic Schur algebras SCIE

作者： He, Zhekun1;Hu, Jun2;Lin, Huang1; （1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;2MIIT Key Laboratory of Mathematical Theory and Computation in Information Security, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China）

出处： Journal of Pure and Applied Algebra 2023 Vol.227 No.4

摘要： We define a unified trace form τ on the cyclotomic Hecke algebras Hn,K of type A, which generalize both Malle-Mathas\' trace form on the non-degenerat ...

[外文期刊] Graded dimensions and monomial bases for the cyclotomic quiver Hecke superalgebras SCIE

作者： Hu, Jun1;Shi, Lei2 （1Beijing Inst Technol, Sch Math & Stat, Key Lab Algebra Lie Theory & Anal, Minist Educ, Beijing 100081, Peoples R China.;2Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China.）

出处： JOURNAL OF ALGEBRA 2023 Vol.635 P642-670

关键词： ALGEBRAS; SUPERCATEGORIFICATION; CATEGORIFICATION

摘要： In this paper we derive a closed formula for the (Z x Z2) -graded dimension of the cyclotomic quiver Hecke superalgebra R?(& beta;) associated to an a ...

[外文期刊] Numerical Study of Aerodynamic Characteristics of No-Swinging and Free-to-Swing Cross Parachute SCIE EI

作者： Hou, Xiayi1;Hu, Jun1;Yu, Yong1 （1Beijing Inst Technol, Sch Aerosp Engn, Haidian Dist, Beijing 100081, Peoples R China.）

出处： AIAA JOURNAL 2023

关键词： DYNAMICS

摘要： During wind-tunnel experiments on parachutes, it is common to either fix the apex of the canopy to maintain a specific angle of attack or only fix the ...

[外文期刊] Crystal of Affine sl^ℓ and Modular Branching Rules for Hecke Algebras of Type Dn.

作者： Lin, Huang;|Hu, Jun （1School of Mathematical Sciences, Zhejiang University, 310027, Hangzhou, China 2MIIT Key Laboratory of Mathematical Theory and Computation in Information Security, School of Mathematics and Statistics, Beijing Institute of Technology, 100081, Beijing, China）

出处： Frontiers of Mathematics 2023 Vol.18 No.2 P277-306

关键词： 16G99;17B10;20C08;crystal bases;Iwahori—Hecke algebras;Kashiwara operators;Kleshchev bipartitions

摘要： Let ℋq(Bn) and ℋq(Dn) denote the Hecke algebras of types Bn and Dn respectively, where q ≠ 1 is the Hecke parameter with quantum characteristic e. We ...

[外文期刊] Graded dimensions and monomial bases for the cyclotomic quiver Hecke algebras SCIE

作者： Hu,Jun1;Shi,Lei2; （1Key Laboratory of Algebraic Lie Theory and Analysis of Ministry of Education, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;2School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China）

出处： Communications in Contemporary Mathematics 2023

摘要： In this paper we give a closed formula for the graded dimension of the cyclotomic quiver Hecke algebra R∇(β) associated to an arbitrary symmetrizable ...

[外文期刊] On the Center Conjecture for the Cyclotomic KLR Algebras.

作者： Hu, Jun1;Lin, Huang2; （1MIIT Key Laboratory of Mathematical Theory and Computation in Information Security , School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, P.R. China 2School of Mathematics and Statistics, Beijing Institute of Technology , Beijing, 100081, P.R. China）

出处： IMRN: International Mathematics Research Notices 2023 Vol.2023 No.22 P19266-19305

摘要： The center conjecture for the cyclotomic KLR algebras |$\mathscr{R}_{\beta }^{\Lambda }$| asserts that the center of |$\mathscr{R}_{\beta }^{\Lambda } ...

胡峻正高级简介

Educational Background

09.1993~07.1998, Department of Mathematics at East China Normal University, Ph.D. graduate student

09.1989~07.1993, Department of Mathematics at East China Normal University, undergraduate student

Working Experience

07.2004~now, Department of Mathematics at Beijing Institute of Technology, Beijing, China, Professor

05.2000~07.2004, Department of Mathematics at Beijing Institute of Technology, Beijing, China, Associate Professor

08.1998~05.2000, School of Mathematical Science at Peking University, Beijing, 100871, China, Post-Doctoral Researcher

Teachings

Undergraduate Courses: Linear Algebras; Higher Algebras; Modern Algebras

Graduate Courses: Abstract Algebras; Lie Groups and Lie Algebras; Representation Theory

Publications

1) On involutions in symmetric groups and a conjecture of Lusztig，(Authors: Jun Hu, Jing Zhang) Advances in Mathematics, 287 (2016), 1—30.

2) Seminormal forms and cyclotomic quiver Hecke algebras of type A, (Authors: Jun Hu, Andrew Mathas)

Mathematische Annalen, 364 (2016), 1189—1254.

3) Quiver Schur algebras for linear quivers,

(Authors: Jun Hu, Andrew Mathas)

Proceedings of the London Mathematical Society, 110(3), (2015), 1315—1186.

4) Symmetrizers and antisymmetrizers for the BMW algebra,

(Authors: R. Dipper, Jun Hu, F. Stoll)

Journal of Algebra and Its Applications, 12 (7) (2013), DOI: 10.1142/S0219498813500321

5) On a theorem of Lehrer and Zhang, (Authors: Jun Hu, Zhankui Xiao)

Documenta Mathematica, 17 (2012)，245—270

6) Z-graded representation theory, (Chinese) (Authors: Jun Hu)

Science China Mathematics, 42(4) (2012), 271—277

7) Decomposition numbers for Hecke algebras of type G(r,p,n), the (ε,q)-separated case, (Authors: Jun Hu, Andrew Mathas)

Proceedings of the London Mathematical Society, 104 (5) (2012), 865--926.

8) Graded inductions for Specht modules,

(Authors: Jun Hu, Andrew Mathas)

International Mathematics Research Notices, 2012(6) (2012),1230--1263.

9) BMW algebra, quantized coordinate algebra and type Schur--Weyl duality, (Authors: Jun Hu)

Representation Theory, an electronic journal of the AMS, 2011 (15) (2011), 1--62.

10) On a generalisation of the Dipper-James-Murphy Conjecture.

(Authors: Jun Hu)

Journal of Combinatorial Theory, Series A, 118(1) (2011), 78--93.


Visiting Positions

08.2011~02.2012, 08.2012~02.2013, 02.2014~07.2014, School of Mathematics and Statistics at the University of Sydney, Australia, Principal Research Fellow;

08.2008~07.2010, School of Mathematics and Statistics at the University of Sydney, Australia, Senior Research Associate

04.2005~03.2006, School of Mathematics, Statistics and Computer Science, Victoria University of Wellington, Wellington, New Zealand,

08.2002~10.2003, Mathematical Institute at University of Stuttgart, Stuttgart, Germany, Alexander von Humboldt Research Fellow;

Research Projects

National Natural Science Foundation of China (11525102, 1171021, 10771014)

Awards, Honors and Recognitions

New Century Excellent Talents in Universities of China, 2004

Graduate Students

Ph. D. Students: Zhankui, Xiao; Jing Zhang; Kai Zhou; Xinfeng Liang

Master Students: Zhiqiang Li; Yi Guo; Danni Wang, Jingjing Li; Yabo Wu

Conference Talks and Invited Presentations

12.2015, Plenary talk at the international conference“Shanghai Conference on Representation Theory”, Chongming，Shangahai;

09.2015, Plenary talk at the international conference“Workshop on Non-commutative Algebras and Geometry”, Yangzhou University；

11.07.2014, Plenary talk at“The Third Cross Strait Workshop on Algebras”, East China Normal University, Shanghai；

02.07.2013, 40 minutes invited talk at“Asian Mathematics Conference 2013”, Busan, Korea；

3.9.2013, Plenary talk at the International Conference on Mathematical Methods from Physics, KITPC, Beijing, China；

27.09.2012, Plenary talk at the conference“Grading and Decomposition Numbers”(University of Stuttgart, Stuttgart, Germany)；

24.05.2012, Plenary talk at the“Second Workshop on Representations and Categorifications” (Peking University, Beijing, China);

05.12.2012, Plenary talk at“The Second Cross Strait Workshop in Algebra” (National Center for Theoretical Sciences at National Cheng Kung University, Tainan, Taiwan);

20.10.2010, Plenary talk at Taipei Conference on Representation Theory (Taipei, Institute of Mathematics, Academia Sinica)；

10.08.2010, Plenary talk at the 5th International Conference on Representation Theory, (Xian, China)；

24.07.2009, Plenary talk at the International Workshop on Quantized Algebras and Physics (Tianjin, Chern Institute of Mathematics, Nankai University);

20.10.2008, Plenary talk at the 11th National Conference on Algebra (Zhangjiajie, Hunan, China);

12.07.2007, Plenary talk at the International Conference “GL07 Geometry and Lie theory”, School of Mathematics and Statistics at the University of Sydney,

Conference Organization

Chair of the Program Committee for The 7th International Conference on Representation Theory (July 18-23,2016, Xiamen, Fujian, China)

Grants & Scholarships Assessor

National Natural Science Foundation of China, China Postdoctoral Science Foundation,

International Refereed Journals

Advances in Mathematics, International Mathematics Research Notices,

Transactions in the American Mathematical Society, London Mathematical Society

International Refereed Proceedings