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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 056, 31 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.056 (Mi sigma402) 		 
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
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DOI: https://doi.org/10.3842/SIGMA.2009.056
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
Bibliographic databases:
Document Type: Article
MSC: 60H40; 60G51; 81S05; 81S20; 81S25; 81T30; 81T40
Language: English
Citation: Luigi Accardi, Andreas Boukas, “Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras”, SIGMA, 5 (2009), 056, 31 pp.
Citation in format AMSBIB
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\by Luigi Accardi, Andreas Boukas
\paper Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras
\jour SIGMA
\yr 2009
\vol 5
\papernumber 056
\totalpages 31
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    		Symmetry, Integrability and Geometry: Methods and Applications
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