Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras

Luigi Accardi ; Andreas Boukas

Symmetry, integrability and geometry: methods and applications, Tome 5 (2009)

Résumé

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.

Détail

Keywords: quantum probability; quantum white noise; infinitely divisible process; quantum decomposition; Meixner classes; renormalization; infinite dimensional Lie algebra; central extension of a Lie algebra.

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