Caroline Junkins: The J-invariant and Tits indices for groups of inner type E6

Submission: 2011, Sep 16

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.

2010 Mathematics Subject Classification: 20G15; 14C25; 14L30; 14C15

Keywords and Phrases: linear algebraic group, Tits algebra, gamma filtration, Grothendieck group K_0, torsor

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