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https://github.com/pi-314159/lie-algebra-cohomology-of-hamiltonian-vector-fields

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Host: GitHub
URL: https://github.com/pi-314159/lie-algebra-cohomology-of-hamiltonian-vector-fields
Owner: pi-314159
License: mit
Created: 2021-08-16T02:15:50.000Z (over 3 years ago)
Default Branch: main
Last Pushed: 2021-08-16T23:57:41.000Z (over 3 years ago)
Last Synced: 2023-10-25T07:25:20.710Z (about 1 year ago)
Language: Python
Size: 6.84 KB
Stars: 0
Watchers: 2
Forks: 0
Open Issues: 0
Metadata Files:
- Readme: README.md
- License: LICENSE

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README

        # Lie Algebra Cohomology of Hamiltonian Vector Fields

A tool which can be used to compute the Lie algebra cohomology of Hamiltonian vector fields.

Requires Python3 and SymPy.

### 0-h2

Files related to the computation of the weight (0, 0) cohomology group ![H^i_(0,0) (\mathfrak h_{2})](https://z3.ax1x.com/2021/08/17/ffzhVS.jpg) are stored in this folder.

You may use __compute.py__ to compute ![H^i_(0,0) (\mathfrak h_{2})](https://z3.ax1x.com/2021/08/17/ffzhVS.jpg). It takes ~40 seconds to compute on Core i7-6700K, 24GB RAM.

If everything runs smoothly, you will get 

![](https://z3.ax1x.com/2021/08/17/ffz4Ug.jpg#tuchuang6)