Representation of elliptic Ding-Iohara algebra

doi:10.1007/s11464-020-0815-3

Front. Math. China

2020, Vol. 15

Issue (1) : 155-166 https://doi.org/10.1007/s11464-020-0815-3

RESEARCH ARTICLE

Representation of elliptic Ding-Iohara algebra

Lifang WANG¹(

), Ke WU², Jie YANG², Zifeng YANG²

¹. School of Mathematics and Statistics, Henan university, Kaifeng 475004, China
². School of Mathematical Sciences, Capital Normal University, Beijing 100048, China

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Abstract

We define a vector representation V (u) of elliptic Ding-Iohara algebra U (q; t; p): Furthermore, we construct the tensor products of the vector representations and the Fock modules ℱ(u) by taking the inductive limit of certain subspaces in the finite tensor products of vector representations.

Keywords Elliptic Ding-Iohara algebra vector representation partition

Corresponding Author(s): Lifang WANG

Issue Date: 09 March 2020

Cite this article:

Lifang WANG,Ke WU,Jie YANG, et al. Representation of elliptic Ding-Iohara algebra[J]. Front. Math. China, 2020, 15(1): 155-166.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0815-3
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I1/155

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