The Fermion Representation of Quantum Toroidal Algebra on 3D Young Diagrams
CAI Li-Qiang1 , WANG Li-Fang2** , WU Ke2 , YANG Jie2
1 Department of Mathematics, Jilin University, Changchun 1300122 School of Mathematical Sciences, Capital Normal University, Beijing 100048
Abstract ：We develop an equivalence between the diagonal slices and the perpendicular slices of 3D Young diagrams via Maya diagrams. Furthermore, we construct the fermion representation of quantum toroidal algebra on the 3D Young diagrams perpendicularly sliced.
出版日期: 2014-06-30
:
05.30.Fk
(Fermion systems and electron gas)
11.25.Hf
(Conformal field theory, algebraic structures)
71.10.Fd
(Lattice fermion models (Hubbard model, etc.))
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WEI Bo-Bo*
. One-Dimensional w -Component Fermions and Bosons with Delta Function Interaction
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C. N. YANG;**;YOU Yi-Zhuang
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2014, Vol. 31 
