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Cayley Hamilton algebras and a paper by Skip Garibaldi

Claudio Procesi

Abstract

In this paper we discuss the minimal Cayley Hamilton norm for a finite dimensional algebra over a field $F$ based on a paper by Skip Garibaldi

Cayley Hamilton algebras and a paper by Skip Garibaldi

Abstract

In this paper we discuss the minimal Cayley Hamilton norm for a finite dimensional algebra over a field based on a paper by Skip Garibaldi

Paper Structure

This paper contains 9 sections, 8 theorems, 17 equations.

Table of Contents

  1. Introduction
  2. The paper by Garibaldi, G.
  3. Multiplicative polynomials
  4. The minimal polynomial
  5. The main Theorem
  6. Complements
  7. The multiplicative maps
  8. The reduced norm
  9. Conclusions

Key Result

Lemma 2.3

If $f$ is multiplicative then it is homogeneous of some degree $k$ and $f(1) = 1$.

Theorems & Definitions (18)

  • Definition 1.1
  • Definition 2.2
  • Lemma 2.3
  • proof
  • Proposition 2.4
  • Proposition 2.6
  • proof
  • Theorem 2.8
  • proof
  • Definition 2.9
  • ...and 8 more