195 citations · 496 across the 30 of their papers we have counts for
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Givental symmetries of Frobenius manifolds and multi-component KP tau-functions
Evgeny Feigin, Johan van de Leur, Sergey Shadrin
We establish a link between two different constructions of the action of the twisted loop group on the space of Frobenius structures. The first construction (due to Givental) descr…
Involutive distributions of operator-valued evolutionary vector fields and their affine geometry. II
Arthemy V. Kiselev, Johan W. van de Leur
We generalize the notion of a Lie algebroid over infinite jet bundle by replacing the variational anchor with an N-tuple of differential operators whose images in the Lie algebra o…
A family of second Lie algebra structures for symmetries of dispersionless Boussinesq system
Arthemy V. Kiselev, Johan W. van de Leur
For the 3-component dispersionless Boussinesq-type system, we construct two compatible nontrivial finite deformations for the Lie algebra structure in the symmetry algebra.
Symmetry algebras of Lagrangian Liouville-type systems
Arthemy V. Kiselev, Johan W. van de Leur
The generators and commutation relations are calculated explicitly for higher symmetry algebras of a class of hyperbolic Euler-Lagrange systems of Liouville type (in particular, fo…