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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149145 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862564523425136640 |
|---|---|
| author | Accardi, L. Boukas, A. |
| author_facet | Accardi, L. Boukas, A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-25T23:46:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149145 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T23:46:47Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Accardi, L. Boukas, A. 2019-02-19T17:40:01Z 2019-02-19T17:40:01Z 2009 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 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras Article published earlier |
| spellingShingle | Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras Accardi, L. Boukas, A. |
| title | 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_short | Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras |
| title_sort | quantum probability, renormalization and infinite-dimensional *-lie algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149145 |
| work_keys_str_mv | AT accardil quantumprobabilityrenormalizationandinfinitedimensionalliealgebras AT boukasa quantumprobabilityrenormalizationandinfinitedimensionalliealgebras |