What does it mean by "constructing invariants" in algebraic topology or algebra in general?
How to define a "invariant" in algebra?
What does it mean by the "invariant of a Lie algebra"?
2026-04-01 18:49:30.1775069370
invariants of a Lie algebra
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Quoting Wikipedia:
Typically, for a Lie algebra we are interested under properties unchanged under isomorphisms. Examples include the dimension, the center, the universal enveloping algebra... For differential graded Lie algebras (of which "usual" Lie algebras are special cases), we're also interested in notions invariant under quasi-isomorphism. So for example Lie algebra cohomology.