BORN RECIPROCITY IN TWO DIMENSIONS: QUAPLECTIC GROUP SYMMETRY, BRANCHING RULES AND STATE LABELLING

DOI10.1142/S0217751X07038360zbMath1141.81312OpenAlexW2066745364MaRDI QIDQ3504092

Peter D. Jarvis

Publication date: 11 June 2008

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x07038360

zbMATH Keywords

Heisenberg algebrainduced representationsBorn reciprocitytwo-dimensional oscillator

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• Reciprocal relativity of noninertial frames and the quaplectic group
• Born reciprocity and the granularity of spacetime
• Mathematical physics at the University of Adelaide
• Representations of certain semidirect product groups
• Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
• Simple orthogonal and unitary compact quantum systems and the İnönü–Wigner contraction
• Hopf algebras for physics at the Planck scale
• Irreducible representations of the central extension of Sl(2) ΛT2
• Representations of the canonical group, (the semidirect product of the unitary and Weyl$ndash$Heisenberg groups), acting as a dynamical group on noncommutative extended phase space
• Unitary Representations of the Group O(2, 1) in an O(1, 1) Basis
• Elementary Particles and the Principle of Reciprocity
• Quantized Field Theories and the Principle of Reciprocity
• Reciprocity Theory of Elementary Particles
• Unitary representations of the Lorentz group

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