Can I read Tensor product weight modules for the mirror-twisted Heisenberg-Virasoro algebra on EtoBox?

Tensor product weight modules for the mirror-twisted Heisenberg-Virasoro algebra by Gao, Dongfang; Zhao, Kaiming is a scholarly article available to read on EtoBox.

What is Tensor product weight modules for the mirror-twisted Heisenberg-Virasoro algebra about?

In this paper, we study irreducible weight modules with infinite dimensional weight spaces over the mirror-twisted Heisenberg-Virasoro algebra $\mathcal{D}$. More precisely, the necessary and sufficient conditions for the tensor products of irreducible highest weight modules and irreducible modules of intermediates series over $\mathcal{D}$ to be irreducible are determined by using "shifting technique". This leads to a family of new irreducible weight modules over $\mathcal{D}$. Then we obtain that any two such tensor products are isomorphic if and only if the corresponding highest weight modules and modules of intermediate series are isomorphic respectively. Also we discuss submodules of the tensor product module when it is not irreducible.

Author

Gao, Dongfang; Zhao, Kaiming

Published

2021

Language

EN