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CATEGORIFICATION: 作品数：12被引量：2H指数：1; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》《Science China Mathematics》《Communications in Theoretical Physics》更多>>; 相关基金：国家自然科学基金北京市自然科学基金国家教育部博士点基金更多>>

Quantum convolution inequalities on Frobenius von Neumann algebras: 《Science China Mathematics》2025年第3期615-636,共22页Linzhe Huang Zhengwei Liu Jinsong Wu; supported by Beijing Municipal Science&Technology Commission,Administrative Commission of Zhongguancun Science Park(Grant No.Z221100002722017);supported by grants from Beijing Institute of Mathematical Sciences and Applications;supported by China’s National Key R&D Programmes(Grant No.2020YFA0713000);Tsinghua University(Grant No.04200100122);Templeton Religion Trust(TRT 159);supported by Beijing Natural Science Foundation Key Program(Grant No.Z220002);supported by National Natural Science Foundation of China(Grant Nos.12031004 and 12371124)。; In this paper,we introduce Frobenius von Neumann algebras and study quantum convolution inequalities.In this framework,we unify quantum Young's inequality on quantum symmetries such as subfactors,and fusion bi-algebra...; 关键词：Frobenius von Neumann algebra quantum Young's inequality quantum entropic convolution inequality unitary categorification

Clustered Hyperbolic Categories: 《Algebra Colloquium》2018年第1期81-106,共26页Ibrahim Saleh; We introduce a class of categories, called clustered hyperbolic categories, which are constructed from a categorized version of preseeds called categorical preseeds using categorical mutations that are a ＂functorial...; 关键词：cluster algebras Weyl cluster algebras representations theory categorification of generalized Weyl algebras

The Categorification of Fermions: 《Communications in Theoretical Physics》2015年第2期129-135,共7页王娜王蕊王志玺吴可杨洁杨紫峰; Supported by National Nature Science Foundation of China under Grant Nos.11031005 and 11475116;Beijing Municipal Commission of Education under Grant Nos.KZ201210028032 and KZ201410028033; In this paper, we lift Fermions to functors acting on some homotopy category by the Boson–Fermion correspondence and get the categorified relations of Fermions. In this way, both the categorified Bosons and the categ...; 关键词：FERMIONS Boson-Fermion Correspondence Heisenberg algebra categorificaion

Cluster algebra structure on the finite dimensional representations of affine quantum group U_q(_3): 《Chinese Physics B》2015年第1期119-124,共6页杨彦敏马海涛林冰生郑驻军; Project supported by the National Natural Science Foundation of China(Grant No.11475178); In this paper, we prove one case of conjecture given by Hemandez and Leclerc. We give a cluster algebra structuure on the Grothendieck ring of a full subcategory of the finite dimensional representations of affine qua...; 关键词：affine quantum group cluster algebra monoidal categorification

Categorification of Spin Modules of Enveloping Algebra of Lie Algebra of Type D_4: 《Journal of Mathematical Research with Applications》2014年第6期669-682,共14页Huabo XU Shilin YANG; Supported by National Natural Science Foundation of China(Grant No.11271043);Natural Science Foundation of Beijing(Grant No.1122006);Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.201111103110011); In this paper we give a categorification of the n-th tensor products of the spin modules of enveloping algebra of lie algebra of type D4 via some subcategories and projective functors of the BGG category of the genera...; 关键词：categorification spin modules BGG category projective functors

Categorification of Integrable Representations of Quantum Groups: 《Acta Mathematica Sinica,English Series》2014年第6期899-932,共34页Hao ZHENG; Supported by National Natural Science Foundation of China(Grant Nos.10631060 and 11131008); We categorify the highest weight integrable representations and their tensor products of a symmetric quantum Kac–Moody algebra. As a byproduct, we obtain a geometric realization of Lusztig＇s canonical bases of these...; 关键词：CATEGORIFICATION quantum groups canonical basis

A diagrammatic categorification of the fermion algebra: 《Chinese Physics B》2013年第10期61-66,共6页林冰生王志玺吴可杨紫峰; Project supported by the National Natural Science Foundation of China(Grant Nos.10975102,10871135,11031005,and 11075014); In this paper, we study the diagrammatic categorification of the fermion algebra. We construct a graphical category corresponding to the one-dimensional （1D） fermion algebra, and we investigate the properties of thi...; 关键词：CATEGORIFICATION fermion algebra

A Categorification of the Vector Representation of U(so(7,C)) via Projective Functors被引量：1: 《Journal of Mathematical Research with Applications》2013年第1期79-89,共11页Yongjun XU Shilin YANG; Supported by the Natural Science Foundation of Beijing(Grant No.1122006);the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.201111103110011);Science and Technology Foundation of BJUT(Grant No.ykj-4787); The aim of this paper is to categorify the n-th tensor power of the vector representation of U（ ο（7,C））. The main tools are certain singular blocks and projective functors of the BGG category of the complex Lie a...; 关键词：CATEGORIFICATION Lie algebra vector representation projective functor BGG category.

A diagrammatic categorification of q-boson and q-fermion algebras: 《Chinese Physics B》2012年第2期1-8,共8页Cai Li-qiang Lin Bing-Sheng Wu Ke; supported by the National Natural Science Foundation of China (Grant Nos.10975102,10871135,11031005,and 11075014); In this paper, we study the diagrammatic categorification of q-boson algebra and also q-fermion algebra. We construct a graphical category corresponding to q-boson algebra, q-Fock states correspond to some kind of 1-m...; 关键词：CATEGORIFICATION q-boson algebra q-Fock state q-fermion algebra

A Categorification of the Boson Oscillator: 《Communications in Theoretical Physics》2012年第1期34-40,共7页LIN Bing-Sheng WU Ke; Supported by National Natural Science Foundation of China under Grant Nos. 10975102,10871135,11031005,11075014; In this paper,we investigate the categorical description of the boson oscillator.Based on the categories constructed by Khovanov,we introduce a categorification of the Fock states and the corresponding inner product o...; 关键词：CATEGORIFICATION Boson oscillator Fock state Heisenberg algebra

CATEGORIFICATION