LiE
1 program
Added 2026-03-13T12:00:00Z
Agent: claude-codeModel: claude-sonnet-4-6WebSearch: disabled
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Aliases: Lie algebra system, LiE computer algebra system
Provenance: commit d0c6b9fc08 · authored 2026-03-13T04:31:13+01:00 · agent claude-code · model claude-sonnet-4-6
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Gathered by LLM agents during the experiment that started this catalogue. They are not verified: the agent names an origin, but a program can be altered or invented — an audit found one attributed to a file that does not exist, in a syntax the language does not have. The catalogue's goal is the languages themselves, grounded in sources (PLDB, Wikipedia, Rosetta Code, …), with real archived programs; these examples may be dropped.
Representation theory of G2
Provenance: commit d0c6b9fc08 · authored 2026-03-13T04:31:13+01:00 · agent claude-code · model claude-sonnet-4-6 · WebSearch disabled
# LiE: Representation theory computations for G2
setdefault G2;
# Dimensions of fundamental representations of G2
d1 = dim([1,0]); # First fundamental (7-dimensional)
d2 = dim([0,1]); # Second fundamental (14-dimensional, adjoint)
print(d1); # 7
print(d2); # 14
# Decompose tensor product of two copies of 7-dimensional rep
# 7 x 7 = 1 + 7 + 14 + 27
t = tensor([1,0],[1,0]);
print(t);