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

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.

Minor changes/corrections, results unchanged

References in corpus (3)

• Addendum to: Generically split projective homogeneous varieties
• Shells of twisted flag varieties and the Rost invariant
• The J-invariant, Tits algebras and Triality