q-deformation of the square white noise Lie algebra

For q∈(0,1), the q-deformation of the square white noise Lie algebra is introduced using the q-calculus. A representation of this Lie algebra is given, using the q-derivative (or Jackson derivative) and the multiplication operator. The free square white noise Lie algebra is defined. Moreover, its re...

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Bibliographic Details
Main Author: Sami H. Altoum
Format: Article
Language:English
Published: Elsevier 2018-08-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809217301526