There are 3 repositories under lie-algebra topic.
Optimization for Robotics
Lie groups and algebra with some quaternions
InEKF Localization and Semantic Mapping on the KITTI Dataset
Auxiliary platform for the graduate course `Lie Groups and Lie Algebras' (李群李代数).
In this repo you can find implementation for Cubic and Quadratic B-splines trajectory generation given poses in R(3) along with B-spline trajectory T(t) generation, of any degree (n) given increments of poses in R(3) and also SO(3) and SE(3) Lie groups.
An exercise of Base Lie theory in "State Estimation for Robotics"
Tracking aggressive trajectories of a quadrotor on SO3/SE3 manifolds using geometric control strategies. Design-oriented project at BITS-PILANI (Goa Campus), 2021.
Notes on Lie algebras and their representation theory.
[CVPR 2024] Confronting Ambiguity in 6D Object Pose Estimation via Score-Based Diffusion on SE(3)
dimsym: Geometric and algebraic techniques for differential equations (with modelling applications); Symmetry Determination and Linear Differential Equation Package, mirrored from https://www.latrobe.edu.au/mathematics-and-statistics/research/geometric-and-algebraic-techniques-for-differential-equations/dimsym/
grg: Computer Algebra System for Differential Geometry, Gravitation and Field Theory, automatically mirrored from https://reduce-algebra.sourceforge.io/grg32/grg32.php
Some work on the paper, "Automated Lie-algebraic input space partitioning using first-order two-dimensional cellular automata" by me (Shrohan Mohapatra. (2020, June 5). Automated Lie-algebraic input space partitioning using first-order two-dimensional cellular automata. Zenodo. http://doi.org/10.5281/zenodo.3880404), here in the specific example with Game of Life for automated Lie-algebraic input space partitioning.
Computes the generators for a given representation of SU2 and SU3.
Obtaining Heisenberg Algebra from Heisenberg Group
Implementation of banana shape distribution paper
Gauge Fields Interactions Calculator
Finite-dimensional Lie algebra package for SymPy
Algorithm I made accompanying my undergraduate thesis.
A c++ library with the purpose to calculate the decomposition of the Yukawa interactions invariants on SO(2N) groups in terms of the SU(N) subgroup.
differential geometry notes