A tropical analogue of the Hessian group

Details A tropical analogue of the Hessian group A tropical analogue of the Hessian group

2011-04-06

arxiv.org/abs/1104.0999v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages, 2 figures, submitted to "New developments of nonlinear waves -- phenomena and modeling (RIAM, Kyushu University, Octo

Scientific paper

We investigate a tropical analogue of the Hessian group $G_{216}$, the group of linear automorphisms acting on the Hesse pencil. Through the procedure of ultradiscretization, the group law on the Hesse pencil reduces to that on the tropical Hesse pencil. We then show that the dihedral group $\mathcal{D}_3$ of degree three is the group of linear automorphisms acting on the tropical Hesse pencil.

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