Twisted difference operator representations of deformed lie type commutation relations

• Operator representations of deformed Lie type commutation relations, associated with group or semigroup actions of dynamical systems and iterated function systems are considered. In particular, it is shown that some multi-parameter deformed symmetric difference and multiplication operators satisfy these commutation relations. The operator representations are considered also in the context of twisted derivations. © Springer Nature Switzerland AG 2020.

Ämnesord

NATURVETENSKAP  -- Matematik -- Algebra och logik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Algebra and Logic (hsv//eng)

Nyckelord

Deformed commutation relations

Iterated function systems

Operator representations

Twisted derivations

Algebra

Dynamical systems

Random processes

Stochastic systems

Commutation relation

Difference operators

Iterated function system

Multiparameters

Multiplication operators

Semi-group

Symmetric difference

Quantum theory

Mathematics/Applied Mathematics

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