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PBW-deformations of graded rings

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Abstract

We prove in a very general framework several versions of the classical Poincaré—Birkhoff—Witt Theorem, which extend results from [BeGi, BrGa, CaSh, HvOZ, WaWi]. Applications and examples are discussed in the last part of the paper.

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Acknowledgments

This article was written while A. Ardizzoni and P. Saracco were members of the “National Group for Algebraic and Geometric Structures, and their Applications” (GNSAGA-INdAM). P. Saracco was partially supported by the Erasmus program while he was visiting the University of Bucharest. He would like to thank the members of the Faculty of Mathematics and Computer Science of the University of Bucharest for their warm hospitality and their friendship during his stay. D. Ştefan was partially supported by INdAM, while he was visiting professor at University of Torino, and by CNCS-UEFISCDI project PN-III-P4-ID-PCE-2016-0030.

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Authors and Affiliations

  1. Department of Mathematics “G. Peano”, University of Torino, Via Carlo Alberto 10, I-10123, Torino, Italy

    Alessandro Ardizzoni

  2. Département de Mathématique, Université Libre de Bruxelles, Boulevard du Triomphe, B-1050, Brussels, Belgium

    Paolo Saracco

  3. Faculty of Mathematics and Computer Science, University of Bucharest, 14 Academiei Street, Bucharest, Ro-010014, Romania

    Dragoş Ştefan

Authors
  1. Alessandro Ardizzoni
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  2. Paolo Saracco
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  3. Dragoş Ştefan
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Correspondence to Dragoş Ştefan.

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Ardizzoni, A., Saracco, P. & Ştefan, D. PBW-deformations of graded rings. Isr. J. Math. 249, 769–856 (2022). https://doi.org/10.1007/s11856-022-2325-3

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  • DOI: https://doi.org/10.1007/s11856-022-2325-3

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