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The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions

Vernadsky National Library of Ukraine

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Title The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
 
Creator Johnson-Freyd, T.
 
Description We show that the Morita equivalences Cliff(4)≃H, Cliff(7)≃Cliff(−1), and Cliff(8)≃R arise from quantizing the Hamiltonian reductions R⁰|4//Spin(3), R⁰|⁷//G₂, and R⁰|⁸//Spin(7), respectively.
We show that the Morita equivalences Cliff(4)≃H, Cliff(7)≃Cliff(−1), and Cliff(8)≃R arise from quantizing the Hamiltonian reductions R⁰|⁴//Spin(3), R⁰|⁷//G₂, and R⁰|⁸//Spin(7), respectively.
 
Date 2019-02-18T15:30:26Z
2019-02-18T15:30:26Z
2016
 
Type Article
 
Identifier The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions / T. Johnson-Freyd // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 8 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 15A66; 53D20; 16D90; 81Q60
DOI:10.3842/SIGMA.2016.116
http://dspace.nbuv.gov.ua/handle/123456789/148553
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України