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

Caroline Junkins

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arXiv · 1112.1454

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

Caroline Junkins

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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 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.

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Caroline Junkins. 2012-01-30. The J-invariant and Tits algebras for groups of inner type E6. https://arxiv.org/abs/1112.1454

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