The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions

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.

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Бібліографічні деталі
Дата:2016
Автор: Johnson-Freyd, T.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2016
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/148553
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1485532019-02-19T01:24:22Z The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions Johnson-Freyd, T. 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. 2016 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Johnson-Freyd, T.
spellingShingle Johnson-Freyd, T.
The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Johnson-Freyd, T.
author_sort Johnson-Freyd, T.
title The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
title_short The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
title_full The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
title_fullStr The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
title_full_unstemmed The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
title_sort quaternions and bott periodicity are quantum hamiltonian reductions
publisher Інститут математики НАН України
publishDate 2016
url http://dspace.nbuv.gov.ua/handle/123456789/148553
citation_txt 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.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT johnsonfreydt thequaternionsandbottperiodicityarequantumhamiltonianreductions
AT johnsonfreydt quaternionsandbottperiodicityarequantumhamiltonianreductions
first_indexed 2023-05-20T17:29:44Z
last_indexed 2023-05-20T17:29:44Z
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