On the Bogolyubov endomorphisms of the renormalized square of white noise algebra

DOI10.1142/S0219025721500235zbMath1486.81128OpenAlexW4200601778MaRDI QIDQ5037866

Habib Rebei, Slaheddine Wannes

Publication date: 4 March 2022

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025721500235

zbMATH Keywords

Bogolyubov endomorphismsBogolyubov representationRSWN-algebra

Mathematics Subject Classification ID

White noise theory (60H40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Representations of finite groups of Lie type (20C33)

Cites Work

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• Powers of quantum white noise derivatives
• Tensor Bogolyubov representations of the renormalized square of white noise (RSWN) algebra
• SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA

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