Centralizers in Free Associative Algebras and Generic Matrices

Alexei Belov-Kanel, Farrokh Razavinia, Wenchao Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is concerned with the completion of the proof of the Bergman centralizer theorem using generic matrices based on our previous quantization proof (Kanel-Belov et al. in Commun Algebra 46:2123–2129, 2018). Additionally, we establish that the algebra of generic matrices with characteristic coefficients is integrally closed.

Original languageEnglish
Article number85
JournalMediterranean Journal of Mathematics
Volume20
Issue number2
DOIs
StatePublished - Apr 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

  • Bergman centralizer theorem
  • Deformation quantization
  • free associative algebra
  • generic matrices
  • trace algebra

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