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. Key words: quantum probability; quantum white noise; infinitely divisible process; quantum decomposition; Meixner classes; renormalization; infinite dimensional Lie algebra; central extension of a Lie algebra
Accardi, L., Boukas, A. (2009). Quantum probability, renormalization and infinite dimensional $*$--Lie algebras. SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS, 5 [10.3842/SIGMA.2009.056].
Quantum probability, renormalization and infinite dimensional $*$--Lie algebras
ACCARDI, LUIGI;
2009-05-01
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. Key words: quantum probability; quantum white noise; infinitely divisible process; quantum decomposition; Meixner classes; renormalization; infinite dimensional Lie algebra; central extension of a Lie algebra| File | Dimensione | Formato | |
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