53 citations · 99 across the 5 of their papers we have counts for
6 papers
A Hamiltonian action of the Schrödinger-Virasoro algebra on a space of periodic time-dependent Schrödinger operators in -dimensions
Jeremie Unterberger, Claude Roger
Let ${\cal S}^{lin}:=\{a(t)(-2\II \partial_t-\partial_r^2+V(t,r) | a\in C^{\infty}(\R/2π\Z), V\in C^{\infty}(\R/2π\Z\times\R)\}$ be the space of Schrödinger operators in -di…
The Schrödinger-Virasoro Lie group and algebra: from geometry to representation theory
Claude Roger, Jeremie Unterberger
This article is concerned with an extensive study of an infinite-dimensional Lie algebra , introduced in the context of non-equilibrium statistical physics, containi…
Deforming the Lie algebra of vector fields on inside the Lie algebra of pseudodifferential symbols on
C. Roger, V. Ovsienko
We classify nontrivial deformations of the standard embedding of the Lie algebra $\Vect(S^1)$ of smooth vector fields on the circle, into the Lie algebra~$\PD(S^1)$ of pseudodiffer…
Deforming the Lie algebra of vector fields on inside the Poisson algebra on
V. Ovsienko, C. Roger
We study deformations of the standard embedding of the Lie algebra $\Vect(S^1)$ of smooth vector fields on the circle, into the Lie algebra of functions on the cotangent bundle $T^…
Extension of the Virasoro and Neveu-Schwartz algebras and generalized Sturm-Liouville operators
P. Marcel, V. Ovsienko, C. Roger
We consider the universal central extension of the Lie algebra $\Vect (S^1)${\math \s}. The coadjoint representation of this Lie algebra has a natural geometric i…
Extensions and contractions of the Lie algebra of q-pseudodifferential symbols
Boris Khesin, Volodymyr Lyubashenko, Claude Roger
We construct cocycles on the Lie algebra of pseudo- and q-pseudodifferential symbols of one variable and on their close relatives: the sine-algebra and the Poisson algebra on two-t…