Opened 4 years ago
Last modified 12 months ago
#26081 new enhancement
Zeroth Tanaka prolongation of free nilpotent Lie algebras
| Reported by: | gh-ehaka | Owned by: | |
|---|---|---|---|
| Priority: | major | Milestone: | sage-wishlist |
| Component: | algebra | Keywords: | Lie algebras, Tanaka prolongation, derivations |
| Cc: | Merged in: | ||
| Authors: | Reviewers: | ||
| Report Upstream: | N/A | Work issues: | |
| Branch: | Commit: | ||
| Dependencies: | #26076 | Stopgaps: |
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Description
An implementation of the zeroth Tanaka prolongation of a free nilpotent Lie algebra. A free nilpotent Lie algebra of nilpotency step s is a graded Lie algebra V_1+...+V_s generated by its homogeneous component of degree 1. The zeroth Tanaka prolongation is a larger graded Lie algebra V_0+V_1+...+V_s, where the V_0 component consists of all possible grading-preserving derivations of the original Lie algebra. See Warhurst: Tanaka prolongation of free Lie algebras.
Change History (3)
comment:1 Changed 4 years ago by
comment:2 Changed 4 years ago by
- Dependencies set to #26076
comment:3 Changed 12 months ago by
- Milestone changed from sage-8.4 to sage-wishlist
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Some implementation already exists in a codebase that I need to clean up and import into Sage.