Frontiers of Mathematics in China >

2020 , Vol. 15 >Issue 1: 155 - 166

DOI: https://doi.org/10.1007/s11464-020-0815-3

RESEARCH ARTICLE

Representation of elliptic Ding-Iohara algebra

  • Lifang WANG , 1 ,
  • Ke WU 2 ,
  • Jie YANG 2 ,
  • Zifeng YANG 2
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  • 1. School of Mathematics and Statistics, Henan university, Kaifeng 475004, China
  • 2. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China

Received date: 22 Mar 2017

Accepted date: 14 Jan 2020

Published date: 15 Feb 2020

Copyright

2020 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature
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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.

Key words： Elliptic Ding-Iohara algebra; vector representation; partition

Cite this article

Lifang WANG , Ke WU , Jie YANG , Zifeng YANG . Representation of elliptic Ding-Iohara algebra[J]. Frontiers of Mathematics in China, 2020 , 15(1) : 155 -166 . DOI: 10.1007/s11464-020-0815-3

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