Surjectivities, octonions and differential Galois theory

Lourdes Juan; Arne Ledet

doi:10.1080/00927872.2017.1281932

Surjectivities, octonions and differential Galois theory

Lourdes Juan, Arne Ledet

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We provide an explicit description of the torsors associated to the three groups related to the octonions—the exceptional Lie group G₂ and the spin groups Spin₇ and Spin₈—and construct generic differential Galois extensions for those groups.

Original language	English
Pages (from-to)	4758-4770
Number of pages	13
Journal	Communications in Algebra
Volume	45
Issue number	11
DOIs	https://doi.org/10.1080/00927872.2017.1281932
State	Published - Nov 2 2017

Keywords

Differential
Galois
generic
octonions
spin

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10.1080/00927872.2017.1281932

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title = "Surjectivities, octonions and differential Galois theory",

abstract = "We provide an explicit description of the torsors associated to the three groups related to the octonions—the exceptional Lie group G2 and the spin groups Spin7 and Spin8—and construct generic differential Galois extensions for those groups.",

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author = "Lourdes Juan and Arne Ledet",

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Surjectivities, octonions and differential Galois theory

Abstract

Keywords

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