The J-invariant and Tits algebras for groups of inner type E6

2011/12/07 by Caroline Junkins, Junkins, Caroline
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1112.1454

Minor changes/corrections, results unchanged

arxiv created 2012/01/30 · arxiv updated 2012/02/01

Abstract

A connection between the indices of the Tits algebras of a split linear algebraic group G and the degree one parameters of its motivic J-invariant was introduced by Queguiner-Mathieu, Semenov and Zainoulline through use of the second Chern class map in the Riemann-Roch theorem without denominators. In this paper we extend their result to higher Chern class maps and provide applications to groups of inner type E6.

Related

• The J-invariant over splitting fields of Tits algebras
• J-invariant of linear algebraic groups of outer type
• Higher Tits indices of algebraic groups
• A characterization of groups of type F₄ arising from the first Tits construction
• An invariant of simple algebraic groups