Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The tensor product of highest ight modules with intermediate series modules over the Virasoro algebra was discussed by Zhang [A class of representations over the Virasoro algebra, J. Algebra 190 (1997) 1–10]. Since then the irreducibility problem for the tensor products has been open. ,  determine the necessary and sufficient conditions for these tensor products to be simple. From non-simple tensor products,  can get other interesting simple Virasoro modules.  also obtain that any two such tensor products are isomorphic if and only if the corresponding highest ight modules and intermediate series modules are isomorphic, respectively. Our method is to develop a ‘shifting technique’ and to widely use Feigin–Fuchs’ theorem on singular vectors of Verma modules over the Virasoro algebra.
['Hongjia Chen', 'Xiangqian Guo', 'Kaiming Zhao']
I am writing a research paper on a idea Tensor product weight modules over the Virasoro algebra
[{"from": "human", "value": "I am writing a research paper on a idea Tensor product weight modules over the Virasoro algebra"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The tensor product of highest ight modules with intermediate series modules over the Virasoro algebra was discussed by Zhang [A class of representations over the Virasoro algebra, J. Algebra 190 (1997) 1\u201310]. Since then the irreducibility problem for the tensor products has been open. ,  determine the necessary and sufficient conditions for these tensor products to be simple. From non-simple tensor products,  can get other interesting simple Virasoro modules.  also obtain that any two such tensor products are isomorphic if and only if the corresponding highest ight modules and intermediate series modules are isomorphic, respectively. Our method is to develop a \u2018shifting technique\u2019 and to widely use Feigin\u2013Fuchs\u2019 theorem on singular vectors of Verma modules over the Virasoro algebra."}]