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

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.3842/SIGMA.2009.056

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.

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