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 gh-ehaka

Some implementation already exists in a codebase that I need to clean up and import into Sage.

comment:2 Changed 4 years ago by gh-ehaka

  • Dependencies set to #26076

comment:3 Changed 12 months ago by chapoton

  • Milestone changed from sage-8.4 to sage-wishlist
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