中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20201-020201.doi: 10.1088/1674-1056/21/2/020201
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蔡立强,林冰生,吴可
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Cai Li-Qiang(蔡立强), Lin Bing-Sheng(林冰生)†, and Wu Ke(吴可)
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Abstract: 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-morphisms, and the graded dimension of the graded vector space of 2-morphisms is exactly the inner product of the corresponding q-Fock states. We also find that this graphical category can be used to categorify q-fermion algebra.
Key words: categorification, q-boson algebra, q-Fock state, q-fermion algebra
中图分类号: (Rings and algebras)
蔡立强,林冰生,吴可. [J]. 中国物理B, 2012, 21(2): 20201-020201.
Cai Li-Qiang(蔡立强), Lin Bing-Sheng(林冰生), and Wu Ke(吴可) . A diagrammatic categorification of q-boson and q-fermion algebras[J]. Chin. Phys. B, 2012, 21(2): 20201-020201.
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链接本文: https://cpb.iphy.ac.cn/CN/10.1088/1674-1056/21/2/020201
https://cpb.iphy.ac.cn/CN/Y2012/V21/I2/20201
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