The Fermion Representation of Quantum Toroidal Algebra on 3D Young Diagrams

The Fermion Representation of Quantum Toroidal Algebra on 3D Young Diagrams

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.

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Veröffentlicht in:Chinese physics letters 2014-07, Vol.31 (7), p.36-40
1. Verfasser: 蔡立强 王丽芳 吴可 杨洁
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Construction
Equivalence
Fermions
Representations
Three dimensional
三维图
子表示
年轻人
环代数
环型
等价性
费米
量子
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Beschreibung
Zusammenfassung: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.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/31/7/070502