L'vov-Kaplanskyjeva domneva za polinome tretje stopnje : magistrsko delo

Vitas, Daniel (author), Brešar, Matej (mentor)

Naj bo $f(x,y,z)$ multilinearen nekomutativen polinom tretje stopnje. Slika polinoma $f$ v matrični algebri $M_d(\mathbb{C})$ je vektorski prostor za vsak $d \in \mathbb{N}$.

• Language: Slovenian
• Keywords: multilinearen nekomutativen polinom, L’vov-Kaplanskyjeva domneva
• Work type: Master's thesis/paper
• Typology: 2.09 - Master's Thesis
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2022
• PID: 20.500.12556/RUL-139028
• UDC: 512
• COBISS.SI-ID: 119531011
• Publication date in RUL: 29.08.2022

Secondary language

• Language: English
• Title: L'vov-Kaplansky conjecture for polynomials of degree three

Abstract

Let $f(x,y,z)$ be a multilinear noncommutative polynomial of degree three. The image of $f$ in the matrix algebra $M_d(\mathbb{C})$ is a vector space for every $d \in \mathbb{N}$.

• Keywords: multilinear noncommutative polynomial, L’vov-Kaplansky conjecture