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This article is cited in 17 scientific papers (total in 17 papers)
Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras
Luigi Accardia, Andreas Boukasb a Centro Vito Volterra, Università di Roma "Tor Vergata", Roma I-00133, Italy
b Department of Mathematics, American College of Greece, Aghia Paraskevi, Athens 15342, Greece
Abstract:
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.
Keywords:
quantum probability; quantum white noise; infinitely divisible process; quantum decomposition; Meixner classes; renormalization; infinite dimensional Lie algebra; central extension of a Lie algebra.
Received: November 20, 2008; in final form May 16, 2009; Published online May 27, 2009
Citation:
Luigi Accardi, Andreas Boukas, “Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras”, SIGMA, 5 (2009), 056, 31 pp.
Linking options:
https://www.mathnet.ru/eng/sigma402 https://www.mathnet.ru/eng/sigma/v5/p56
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Abstract page: | 537 | Full-text PDF : | 108 | References: | 46 |
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