相关期刊:《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》《Science China Mathematics》《Communications in Theoretical Physics》更多>>
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...
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...
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...
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...