A short proof of the Buchstaber-Rees theorem
H. M. Khudaverdian, Th. Th. Voronov
TL;DR
This paper presents a concise proof of the Buchstaber-Rees theorem on symmetric powers, utilizing the concept of a formal characteristic function of algebraic linear maps.
Contribution
It introduces a simplified proof of the Buchstaber-Rees theorem using formal characteristic functions, streamlining previous approaches.
Findings
Provides a shorter proof of the Buchstaber-Rees theorem
Utilizes formal characteristic functions in algebraic proofs
Simplifies understanding of symmetric powers in algebra
Abstract
We give a short proof of the Buchstaber-Rees theorem concerning symmetric powers. The proof is based on the notion of a formal characteristic function of a linear map of algebras.
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