C. Roger

activity

19942008

most citedDeforming the Lie algebra of vector fields on

S^{1}

inside the Poisson algebra on

T ˙^{*} S^{1}

53 citations · 99 across the 5 of their papers we have counts for

collaborators

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2 papers · 1 filter

math-ph2008

A Hamiltonian action of the Schrödinger-Virasoro algebra on a space of periodic time-dependent Schrödinger operators in $(1 + 1)$ -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 $(1 + 1)$ -di…

math-ph2006★ 17 cited

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 $sv$ , introduced in the context of non-equilibrium statistical physics, containi…

A Hamiltonian action of the Schrödinger-Virasoro algebra on a space of periodic time-dependent Schrödinger operators in (1+1)-dimensions

The Schrödinger-Virasoro Lie group and algebra: from geometry to representation theory

A Hamiltonian action of the Schrödinger-Virasoro algebra on a space of periodic time-dependent Schrödinger operators in $(1 + 1)$ -dimensions