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

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2014 Chinese Physical Society and IOP Publishing Ltd
, , Citation Cai Li-Qiang et al 2014 Chinese Phys. Lett. 31 070502 DOI 10.1088/0256-307X/31/7/070502

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1 Department of Mathematics, Jilin University, Changchun 130012

2 School of Mathematical Sciences, Capital Normal University, Beijing 100048

Dates

  1. Received 21 March 2014
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0256-307X/31/7/070502

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.

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