14 citations · 29 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…