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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Format: | Article |
Language: | English |
Published: |
Elsevier
2018-08-01
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Series: | Transactions of A. Razmadze Mathematical Institute |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809217301526 |