Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and stochastic calculus and the theory of classical and quantum infinitely divisible pro...
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| Datum: | 2009 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2009
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149145 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras / L. Accardi, A. Boukas // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 60 назв. — англ. |
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nasplib_isofts_kiev_ua-123456789-149145 |
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nasplib_isofts_kiev_ua-123456789-1491452025-02-09T12:25:51Z Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras Accardi, L. Boukas, A. The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and stochastic calculus and the theory of classical and quantum infinitely divisible processes. This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. We want to express our gratitude to the five referees who examined our paper. Their comments clearly indicate that they have gone through it carefully and the present version of the paper has greatly benefitted from them. 2009 Article Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras / L. Accardi, A. Boukas // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 60 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 60H40; 60G51; 81S05; 81S20; 81S25; 81T30; 81T40 https://nasplib.isofts.kiev.ua/handle/123456789/149145 en Symmetry, Integrability and Geometry: Methods and Applications application/pdf Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and stochastic calculus and the theory of classical and quantum infinitely divisible processes. |
| format |
Article |
| author |
Accardi, L. Boukas, A. |
| spellingShingle |
Accardi, L. Boukas, A. Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Accardi, L. Boukas, A. |
| author_sort |
Accardi, L. |
| title |
Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras |
| title_short |
Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras |
| title_full |
Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras |
| title_fullStr |
Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras |
| title_full_unstemmed |
Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras |
| title_sort |
quantum probability, renormalization and infinite-dimensional *-lie algebras |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149145 |
| citation_txt |
Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras / L. Accardi, A. Boukas // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 60 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT accardil quantumprobabilityrenormalizationandinfinitedimensionalliealgebras AT boukasa quantumprobabilityrenormalizationandinfinitedimensionalliealgebras |
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2025-11-25T23:46:47Z |
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2025-11-25T23:46:47Z |
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1849808028544532480 |