Representation of elliptic Ding-Iohara algebra

• 作 者: Lifang WANG Ke WU Jie YANG Zifeng YANG
• 机 构: School of Mathematics and Statistics, Henan university, Kaifeng 475004, China“,”School of Mathematic
• 出 处: 中国数学前沿
• 发表日期: 2020年1期
• 关键词: Elliptic Ding-Iohara algebra vector representation partition

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.