4 citations · 6 across the 6 of their papers we have counts for
9 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…
On -triviality of -II
Maneesh Thakur
Simple algebraic groups of type defined over a field are the full automorphism groups of Albert algebras over . Let be an Albert algebra over a field of arbitr…
On -triviality of
Maneesh Thakur
It is known that simple algebraic groups of type defined over a field are precisely the full automorphism groups of Albert algebras over . We explore -triviality fo…
Albert algebras and the Tits-Weiss conjecture
Maneesh Thakur
We prove the Tits-Weiss conjecture for Albert division algebras over fields of arbitrary characteristics in the affirmative. The conjecture predicts that every norm similarity of a…
The cyclicity problem for Albert algebras
Maneesh Thakur
In this paper we address the celebrated Albert problem for exceptional Jordan algebras (i.e. Albert algebras): Does every Albert division algebra contain a cubic cyclic subfield? W…
-triviality of some exceptional groups
Maneesh Thakur
The main aim of this paper is to prove -triviality for simple, simply connected algebraic groups with Tits index or , defined over a field of ar…