Twisting the zero-divisors away

Datum

27.10.2017

Zeit

13:15 - 14:15

Sprecher

Nikolaas Verhulst

Sprache

en

Hauptthema

Mathematik

Andere Themen

Mathematik

Host

Dr. E. Lehtonen

Beschreibung

In this talk, we will explore the wonderful world of classical algebra, more precisely of field arithmetic. Here, division algebras, i.e., finite dimensional associative algebras without zero-divisors, play a crucial role. The goal is to get a better understanding of these beasts. We will see how finite dimensional algebras, like most things in life, can be understood with linear algebra. This will allow us to talk about determinants of elements which, in turn, allows us to compute zero-divisors. I will explain how an algebra can be twisted and why this (sometimes) eliminates zero-divisors. Some interesting, and possibly not too hard, open problems will be stated.

Links

• Institut für Algebra: International Seminar

Letztmalig verändert: 25.10.2017, 15:39:47