363 citations · 1.3k across the 53 of their papers we have counts for
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The Virasoro-like Algebra of a Frobenius Manifold
Si-Qi Liu, Di Yang, Youjin Zhang +1
For an arbitrary calibrated Frobenius manifold, we construct an infinite dimensional Lie algebra, called the Virasoro-like algebra, which is a deformation of the Virasoro algebra o…
Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds
Si-Qi Liu, Zhe Wang, Youjin Zhang
For any semisimple Frobenius manifold, we prove that a tau-symmetric bihamiltonian deformation of its Principal Hierarchy admits an infinite family of linearizable Virasoro symmetr…
Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro symmetries
Si-Qi Liu, Zhe Wang, Youjin Zhang
We prove that for any tau-symmetric bihamiltonian deformation of the tau-cover of the Principal Hierarchy associated with a semisimple Frobenius manifold, the deformed tau-cover ad…
Tri-Hamiltonian Structure of the Ablowitz-Ladik Hierarchy
Shuangxing Li, Si-Qi Liu, Haonan Qu +1
We construct a local tri-Hamiltonian structure of the Ablowitz-Ladik hierarchy, and compute the central invariants of the associated bihamiltonian structures. We show that the cent…