On Solvable Lie Algebras of White Noise Operators

We characterize the dimension of Lie algebras of white noise operators containing the quantum white noise derivatives of the conservation operator. We establish isomorphisms to filiform Lie algebras, Engel-type algebras, and solvable Lie algebras with Heisenberg nilradical and Abelian nilradical. A...

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Bibliographic Details
Main Authors: Wolfgang Bock, Janeth Canama, Gaudencio Petalcorin
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/11/2301