作者：鲍刚

学位名称：硕士

出处：北京理工大学 2004

关键词：Dn型；Hecke代数；分叉法则

摘要：本文研究Hecke代数的结构与表示。我们首先给出了有限Coxeter群的一般Hecke代数中心的一组新基，基底用 Graham 和Lehrer的胞腔基及范数的形式描述。然后我们研究了带某些参数的 $B_n$ 型Hecke代数的Young半正规表示。我们精确地建立了Young半正规表示与Specht模 ...

作者：梁新峰

学位名称：博士

出处：北京理工大学

作者：Hu, Jun;Wang, Shixuan （¹MIIT Key Laboratory of Mathematical Theory and Computation in Information Security, School of Mathematical and Statistics, Beijing Institute of Technology, Beijing, 100081, China;²School of Mathematical and Statistics, Beijing Institute of Technology, Beijing, 100081, China）

出处：Journal of Algebra 2022

摘要：This paper studies the seminormal bases {fst},{fst}, and the dual seminormal bases {gst},{gst} of the non-degenerate and the degenerate cyclotomic Hec ...

作者：Lin, Huang;Hu, Jun （¹School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, China;²Key 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 Algebra 2022

摘要：Let ℓ∈N with ℓ>1. In this paper we give a new realization of the crystal of affine type Aˆℓ−1 using the modular representation theory of the affine He ...

作者：Chaoqing Jia;Jun Hu;Xiaojian Yi;Hongjian Liu;Jinpeng Huang;Zhipeng Cao （¹School of Computer Science and Technology, Harbin University of Science and Technology, Harbin 150080, China;²School of Automation, Harbin University of Science and Technology, Harbin 150080, China;³Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin 150080, China;⁴School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China;⁵School of Mathematics-Physics and Finance, Anhui Polytechnic University, Wuhu 241000, China）

出处：Information Sciences 2023

摘要：This paper investigates the algorithm design problem of recursive state estimation (RSE) for a class of complex networks (CNs) subject to quantized co ...

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

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 ...

作者：Jun Hu;Huang Lin （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：International Mathematics Research Notices

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

作者：Tianchen Qin¹;Dezhou Guo²;Juanjuan Xiong¹;Xingyu Li³;Lei Hu³;Weishan Yang³;Zijie Chen³;Yulun Wu³;Honghe Ding³;Jun Hu³;Qian Xu³;Tao Wang⁴;Junfa Zhu⁵; （¹ University of Science and Technology of China, National Synchrotron Radiation Laboratory, 230029, Hefei, CHINA. ² Beijing Institute of Technology State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, 100081, Beijing, CHINA. ³ University of Science and Technology of China, National Synchrotron Radiation Laboratory, National Synchrotron Radiation Laboratory, 230029, Hefei, CHINA. ⁴ Donostia International Physics Center, Donostia International Physics Center, 20018, SPAIN. ⁵ University of Science and Technology of China, National Synchrotron Radiation Laboratory, 42 South Hezuohua Road, 230029, Hefei, CHINA.）

出处：Angewandte Chemie (International ed. in English) 2023

关键词：Carbon nanomaterials;On-surface synthesis;Photoemission spectroscopy;Reaction kinetics and thermodynamics;Scanning tunneling microscopy.

摘要：The electrical and mechanical properties of graphene-based materials can be tuned by the introduction of nanopores, which are sensitively related to t ...

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

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 ...

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

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 ...