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The J-invariant and Tits algebras for groups of inner type E 6

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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 Quéguiner-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 E 6.

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  1. Department of Mathematics & Statistics, University of Ottawa, 585 King Edward Avenue, Ottawa, ON, Canada

    Caroline Junkins

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  1. Caroline Junkins
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Correspondence to Caroline Junkins.

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Junkins, C. The J-invariant and Tits algebras for groups of inner type E 6 . manuscripta math. 140, 249–261 (2013). https://doi.org/10.1007/s00229-012-0541-6

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  • DOI: https://doi.org/10.1007/s00229-012-0541-6

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