The irreducible unitary representations of the extended Poincaré group in (1+1) dimensions

DOI10.1063/1.1644901zbMath1070.81066arXivmath-ph/0208024OpenAlexW3101662772MaRDI QIDQ4833352

R. O. de Mello, Victor O. Rivelles

Publication date: 15 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0208024

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (2)

Cosmological quantum states of de Sitter-Schwarzschild are static patch partition functions ⋮ Tensor extension of the Poincaré algebra

Cites Work

• The Wigner function for general Lie groups and the wavelet transform
• Poincaré gauge theory for gravitational forces in (1+1) dimensions
• The representations of the oscillator group
• On the unitary representations of exponential groups
• Obstruction results in quantization theory
• Induced representation of locally compact groups. I
• Induced representations of locally compact groups. II. The Frobenius reciprocity theorem
• Relativistic quantum kinematics in the Moyal representation
• The Stratonovich–Weyl correspondence for one-dimensional kinematical groups
• On the local equivalence in a unidimensional world
• Merits and demerits of the orbit method
• Gauge-invariant formulations of lineal gravities
• On the Theory of Exponential Groups

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