Literature

This is all literature mentioned / referenced in the LieGroups.jl documentation. You can find a small reference section at the end of every documentation page that contains the corresponding references as well.

[AR13]: D. Andrica and R.-A. Rohan. Computing the Rodrigues coefficients of the exponential map of the Lie groups of matrices. Balkan Journal of Geometry and Its Applications 18, 1–10 (2013). ↩¹ ↩² ↩³ ↩⁴
[BZ21]: T. Bendokat and R. Zimmermann. The real symplectic Stiefel and Grassmann manifolds: metrics, geodesics and applications, arXiv Preprint, 2108.12447 (2021), arXiv:2108.12447. ↩¹
[BP08]: E. Biny and S. Pods. The Geometry of Heisenberg Groups: With Applications in Signal Theory, Optics, Quantization, and Field Quantization (American Mathematical Society, 2008). ↩¹
[Chi12]: G. S. Chirikjian. Stochastic Models, Information Theory, and Lie Groups, Volume 2. 1 Edition, Vol. 2 of Applied and Numerical Harmonic Analysis (Birkhäuser Boston, MA, 2012). ↩¹ ↩² ↩³ ↩⁴ ↩⁵ ↩⁶ ↩⁷ ↩⁸
[GX02]: J. Gallier and D. Xu. Computing exponentials of skew-symmetric matrices and logarithms of orthogonal matrices. International Journal of Robotics and Automation 17, 1–11 (2002). ↩¹ ↩² ↩³ ↩⁴ ↩⁵ ↩⁶ ↩⁷ ↩⁸
[Gil08]: M. B. Giles. Collected Matrix Derivative Results for Forward and Reverse Mode Algorithmic Differentiation. In: Advances in Automatic Differentiation, Lecture Notes in Computational Science and Engineering, edited by C. H. Bischof, H. M. Bücker, P. Hovland, U. Naumann and J. Utke (Springer, Berlin, Heidelberg, 2008); pp. 35–44. ↩¹ ↩² ↩³ ↩⁴
[Hal15]: B. C. Hall. Lie Groups, Lie Algebras, and Representations: An Elementary Introduction. Vol. 222 of Graduate Texts in Mathematics (Springer International Publishing, 2015). ↩¹ ↩²
[HN12]: J. Hilgert and K.-H. Neeb. Structure and Geometry of Lie Groups (Springer Monographs in Mathematics, 2012). ↩¹ ↩² ↩³ ↩⁴ ↩⁵ ↩⁶ ↩⁷ ↩⁸ ↩⁹ ↩¹⁰ ↩¹¹ ↩¹² ↩¹³ ↩¹⁴ ↩¹⁵ ↩¹⁶ ↩¹⁷
[Kel25]: J. Kelly. All About the Galilean Group SGal(3) (Jun 2025), arXiv:2312.07555 [cs.RO]. ↩¹ ↩² ↩³ ↩⁴ ↩⁵ ↩⁶ ↩⁷ ↩⁸ ↩⁹ ↩¹⁰ ↩¹¹ ↩¹² ↩¹³ ↩¹⁴ ↩¹⁵ ↩¹⁶ ↩¹⁷ ↩¹⁸ ↩¹⁹ ↩²⁰ ↩²¹ ↩²² ↩²³
[LT13]: D. Latifi and M. Toomanian. On the existence of bi-invariant Finsler metrics on Lie groups. Mathematical Sciences 7, 37 (2013). ↩¹
[SDA21]: J. Solà, J. Deray and D. Atchuthan. A micro Lie theory for state estimation in robotics (Dec 2021), arXiv:1812.01537 [cs.RO], arXiv: 1812.01537. ↩¹ ↩² ↩³ ↩⁴ ↩⁵ ↩⁶ ↩⁷ ↩⁸ ↩⁹ ↩¹⁰