Congruence and metaplectic covariance: Rational biquadratic reciprocity and quantum entanglement

DOI10.33205/cma.804852zbMath1488.11171OpenAlexW3130547110MaRDI QIDQ5006182

Walter Johannes Schempp

Publication date: 13 August 2021

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.804852

zbMATH Keywords

half-spinor Maslov indexadéles and idélescyclotomographydifferential idélesHopf principal circle bundleLegendre-Hilbert-Artin symbolic tower of class field theorymetaplectic Lie group \(\mathrm{Mp}(2, \mathbb{R})\)pure spinor invariantyrational quantum entanglementspaces of even and odd half-spinorthe first maxim of the geometric quantization principlethe metaplectic coadjoint orbit model and spherical contact geometrythird order principle of spinor trialityvaluation and module functionWitt quartic groups

Mathematics Subject Classification ID

Class field theory (11R37) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

• Introduction to orthogonal, symplectic and unitary representations of finite groups.
• The Weil representation, Maslov index and theta series
• Quantum mechanics and partial differential equations
• Introduction to quadratic forms
• Galois cohomology and class field theory. Translated from the French by Andrei Yafaev
• Dynamic metaplectic spinor quantization: the projective correspondence for spectral dual pairs
• Sur la formule de Siegel dans la théorie des groupes classiques
• Sur certains groupes d'opérateurs unitaires
• Entanglement in Phase Space
• On the role of the Heisenberg group in harmonic analysis
• The Quadratic Reciprocity Law
• Ein rationales biquadratisches Reziprozitätsgesetz.
• Class field theory
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