The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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dc.contributor.author	Johnson-Freyd, T.
dc.date.accessioned	2019-02-18T15:30:26Z
dc.date.available	2019-02-18T15:30:26Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 15A66; 53D20; 16D90; 81Q60
dc.identifier.other	DOI:10.3842/SIGMA.2016.116
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148553
dc.description.abstract	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.	uk_UA
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Gone Fishing”. The full collection is available at http://www.emis.de/journals/SIGMA/gone-fishing2016.html. I would like to thank the referees for their comments and improvements to this paper. This work was completed during the “Gone Fishing 2016” conference at University of Colorado, Boulder, which was supported by the NSF grant DMS-1543812. This research was also supported by the NSF grant DMS-1304054. The Perimeter Institute for Theoretical Physics is supported by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Research, Innovation and Science.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA