Common aspects of q-deformed Lie algebras and fractional calculus

Richard Herrmann

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 21, 4613-4622

Abstract: Fractional calculus and q-deformed Lie algebras are closely related. Both concepts expand the scope of standard Lie algebras to describe generalized symmetries. A new class of fractional q-deformed Lie algebras is proposed, which for the first time allows a smooth transition between different Lie algebras.

Keywords: Perturbation and fractional calculus methods; q-deformed Lie-algebras (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:21:p:4613-4622

DOI: 10.1016/j.physa.2010.07.004

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