CATEGORIFICATION

作品数:12被引量:2H指数:1
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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>>
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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 
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 and Quasi-Hopf Algebras被引量:1
《Communications in Theoretical Physics》2011年第8期207-210,共4页常文静 王志玺 吴可 杨紫峰 
Supported by National Natural Science Foundation of China under Grant Nos. 10975102, 11031005 10871135, 10871227, and PHR201007107
We categorify the notion of coalgebras by imposing a co-associative law up to some isomorphisms on the co-multiplication map and requiring that these isomorphisms satisfy certairl law of their own, which is called the...
关键词:CATEGORIFICATION quasi-Hopf algebras 
A Categorification of Quantum sl_2
《Communications in Theoretical Physics》2011年第7期37-45,共9页王娜 王志玺 吴可 杨紫峰 
Supported by National Natural Science Foundation of China under Grant Nos. 10975102, 10871135, 11031005, and 10871227
In this paper, we categorify the algebra Uq(sl2) with the same approach as in [A. Lauda, Adv. Math. (2010), arXiv:math.QA/0803.3662; M. Khovanov, Comm. Algebra 11 (2001) 5033]. The algebra U =Uq(sl2) is obtai...
关键词:quantum affine algebra CATEGORIFICATION 
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