Letters in Mathematical Physics

, Volume 104, Issue 7, pp 849–869 | Cite as

2p-Commutator on Differential Operators of Order p

  • Askar Dzhumadil’daev


We show that a space of one variable differential operators of order p admits non-trivial 2p-commutator and the number 2p here can not be improved.

Mathematics Subject Classification (1991)



Weyl algebra differential operator N-commutator polynomial identity Amitzur–Levitzki identity 


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Kazakh-British UniversityAlmatyKazakhstan

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