41 citations · 453 across the 49 of their papers we have counts for
12 papers · 1 filter
Root of the generic cubic as a power series in the discriminant
Jason Bland, Skip Garibaldi, Joel Rosenberg
An observation of J-P. Serre implies that the generic monic cubic polynomial, unique among generic monic polynomials of degree at least two, has a root that is a power series in th…
Solutions to the exercises from the book "Albert algebras over commutative rings"
Skip Garibaldi, Holger P. Petersson, Michel L. Racine
This document presents the solutions to the exercises in the book "Albert algebras over commutative rings" published by Cambridge University Press, 2024, as well as errata and adde…
Albert algebras over Z and other rings
Skip Garibaldi, Holger P. Petersson, Michel L. Racine
Albert algebras, a specific kind of Jordan algebra, are naturally distinguished objects among commutative non-associative algebras and also arise naturally in the context of simple…
A class of continuous non-associative algebras arising from algebraic groups including
Maurice Chayet, Skip Garibaldi
We give a construction that takes a simple linear algebraic group over a field and produces a commutative, unital, and simple non-associative algebra over that field. Two a…
, the most exceptional group
S. Garibaldi
The five exceptional simple Lie algebras over the complex number are included one within the other as . The biggest one, ,…
Open Problems on Central Simple Algebras
Asher Auel, Eric Brussel, Skip Garibaldi +1
We provide a survey of past research and a list of open problems regarding central simple algebras and the Brauer group over a field, intended both for experts and for beginners.