Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let @s be a complete simplicial fan in finite dimensional real Euclidean space V, and let G be a cyclic subgroup of GL(V) which acts properly on @s.  show that the representation of G carried by the cohomology of X"@s, the toric variety associated to @s, is a permutation representation.
['Jonathan Browder']
I am writing a research paper on a idea Notes: Representations of cyclic groups acting on complete simplicial fans
[{"from": "human", "value": "I am writing a research paper on a idea Notes: Representations of cyclic groups acting on complete simplicial fans"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let @s be a complete simplicial fan in finite dimensional real Euclidean space V, and let G be a cyclic subgroup of GL(V) which acts properly on @s.  show that the representation of G carried by the cohomology of X\"@s, the toric variety associated to @s, is a permutation representation."}]