Lie Groups: General Theory

By R. Gilmore. 2006

122 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Scott Wisdom
2. Jonathan Le Roux
3. John R. Hershey
4. Tess E. Smidt
5. Thomas Powers
6. Zhong-Qiu Wang
7. Les E. Atlas
8. Ingemar Bengtsson

Citations in the corpus

• Tensor Field Networks: Rotation- and Translation-Equivariant Neural Networks for 3D Point Clouds (2018, methodology): “The group elements are represented by D, which are called Wigner D-matrices (see Gilmore (2008)); they map elements of SO(3) to (2l+1)× (2l+1)-dimensional complex matrices. We could additionally have equivariance with respect to O(3), the group of 3D rotations and mirror operations (a discrete symme”
• Full-Capacity Unitary Recurrent Neural Networks (2016, background): “A Lie group identifies group elements with points on a differentiable manifold [12, §2.2].”
• Geometry of Quantum States: Index (2007, background): “1 Such as the two books by Gilmore [334, 335].”