Centralizers in Free Associative Algebras and Generic Matrices

Abstract

This paper is concerned with the completion of the proof of the Bergman centralizer theorem by using generic matrices based on our previous quantization proof \cite{KBRZh}. Additionally, we establish that the algebra of generic matrices with characteristic coefficients is integrally closed.

18 pages

References in corpus (4)

• Deformation quantization of Poisson manifolds, I
• The Jacobian Conjecture, together with Specht and Burnside-type problems
• Bergman's Centralizer Theorem and quantization
• Centralizers in Free Group Algebras and Nonsingular Curves

Cited by in corpus (1)

• Torus actions on free associative algebras, lifting and Białynicki-Birula type theorems