LINEAR INDEPENDENCE OF THE RENORMALIZED HIGHER POWERS OF WHITE NOISE

Luigi Accardi, Andreas Boukas · 2008

The connection between the Lie algebra of the Renormalized Higher Powers of White Noise (RHPWN) and the centerless Virasoro (or Witt)-Zamolodchikovw∞ Lie algebras of conformal field theory, as well as the associated Fock space construction, have recently been established in Ref.1–6 In this note we prove the linear independence of the RHPWN Lie algebra generators.

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