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Heisenberg代数的范畴化和MacMahon函数

娜 王志玺 王可 吴洁 杨紫峰 杨

2016Zhongguo kexue. Wulixue Lixue TianwenxueMathematics被引 1

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摘要

Starting from a one dimensional vector space, we construct a categorification ′ H of a deformed Heiserberg algebra ′ H Z[t,t -1 ] by Cautis and Licata's method.The Grothendieck ring of ′ H is ′ H Z[t,t -1 ] .As an application, we discuss some related partition functions related to the MacMahon function of 3D Young diagram.We expect further applications of the results of this paper.

引用本文(GB/T 7714)

娜 王, 志玺 王, 可 吴, 等. Heisenberg代数的范畴化和MacMahon函数[J]. Zhongguo kexue. Wulixue Lixue Tianwenxue, 2016.

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DOI:https://doi.org/10.1360/sspma2016-00212

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