Corpus ID: 119595532

The Schr\"odinger-Virasoro Lie group and algebra: from geometry to representation theory

  title={The Schr\"odinger-Virasoro Lie group and algebra: from geometry to representation theory},
  author={C. Roger and J. Unterberger},
  journal={arXiv: Mathematical Physics},
  • C. Roger, J. Unterberger
  • Published 2006
  • Physics, Mathematics
  • arXiv: Mathematical Physics
  • This article is concerned with an extensive study of an infinite-dimensional Lie algebra $\mathfrak{sv}$, introduced in the context of non-equilibrium statistical physics, containing as subalgebras both the Lie algebra of invariance of the free Schr\"odinger equation and the central charge-free Virasoro algebra $Vect(S^1)$. We call $\mathfrak{sv}$ the Schr\"odinger-Virasoro algebra. We choose to present $\mathfrak{sv}$ from a Newtonian geometry point of view first, and then in connection with… CONTINUE READING
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