14 citations · 29 across the 6 of their papers we have counts for
6 papers
Homogeneous Freudenthal algebras and the first Tits construction
Holger P. Petersson, Maneesh Thakur
Freudenthal algebras over a field are basically the same as Jordan algebras of degree remaining simple under all base field extensions. These algebras are intimately linked, vi…
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…
Outer automorphisms of algebraic groups and a Skolem-Noether theorem for Albert algebras
Skip Garibaldi, Holger P. Petersson
The question of existence of outer automorphisms of a simple algebraic group arises naturally both when working with the Galois cohomology of and as an example of the algeb…
Wild Pfister forms over Henselian fields, K-theory, and conic division algebras
Skip Garibaldi, Holger P. Petersson
The epicenter of this paper concerns Pfister quadratic forms over a field with a Henselian discrete valuation. All characteristics are considered but we focus on the most compl…
Groups of outer type E6 with trivial Tits algebras
Skip Garibaldi, Holger P. Petersson
In two 1966 papers, Jacques Tits gave a construction of exceptional Lie algebras (hence implicitly exceptional algebraic groups) and a classification of possible indexes of simple…