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On the universal covering group of the real symplectic group

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Publication:441213
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DOI10.1016/j.geomphys.2012.05.009zbMath1247.22011OpenAlexW2099705227MaRDI QIDQ441213

John H. Rawnsley

Publication date: 20 August 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2012.05.009


zbMATH Keywords

Maslov indexSymplectic groupBraid groupUniversal cover


Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Braid groups; Artin groups (20F36) Issues of holonomy in differential geometry (53C29) Local Lie groups (22E05)


Related Items

Conformal geometry of timelike curves in the \((1 + 2)\)-Einstein universe ⋮ Strong property (T) for higher-rank simple Lie groups: Figure 1. ⋮ The arithmetic geometry of \(\mathrm{AdS_2}\) and its continuum limit ⋮ Simple Lie groups without the Approximation Property II ⋮ On the restricted conformal group of the \((1 + n)\)-Einstein static universe ⋮ The non-linear and quadratic quantization programs



Cites Work

  • Symplectic Dirac operators and \({Mp^{\text c}}\)-structures
  • Introduction to symplectic Dirac operators
  • On the existence of a connection with curvature zero
  • The metaplectic representation, 𝑀𝑝^{𝑐} structures and geometric quantization
  • Introduction to Algebraic K-Theory. (AM-72)
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