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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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148553 |
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dspace |
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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 |
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2023-05-20T17:29:44Z |
| last_indexed |
2023-05-20T17:29:44Z |
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1796153420660342784 |