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2018 On the faithfulness of the representation of $\mathrm{GL}(n)$ on the space of curvature tensors
Corey Dunn, Darien Elderfield, Rory Martin-Hagemeyer
Involve 11(5): 775-785 (2018). DOI: 10.2140/involve.2018.11.775

Abstract

We prove that the standard representation of GL(n) on the space of algebraic curvature tensors is almost faithful by showing that the kernel of this representation contains only the identity map and its negative. We additionally show that the standard representation of GL(n) on the space of algebraic covariant derivative curvature tensors is faithful.

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Corey Dunn. Darien Elderfield. Rory Martin-Hagemeyer. "On the faithfulness of the representation of $\mathrm{GL}(n)$ on the space of curvature tensors." Involve 11 (5) 775 - 785, 2018. https://doi.org/10.2140/involve.2018.11.775

Information

Received: 16 August 2016; Revised: 23 August 2017; Accepted: 29 October 2017; Published: 2018
First available in Project Euclid: 12 April 2018

zbMATH: 06866583
MathSciNet: MR3784026
Digital Object Identifier: 10.2140/involve.2018.11.775

Subjects:
Primary: 20G05
Secondary: 15A69

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.11 • No. 5 • 2018
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