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Results tagged with lie-algebra-cohomology
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user 750
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Relation between Lie Algebra Cohomology and Number of Relations of a Cyclic Module?
Let $\mathfrak{g}$ be a finite dimensional Lie algebra over $k$, let $U$ be its enveloping algebra, and let $M$ be a $\mathfrak{g}$-module (not necessarily finite dimensional). Call the invariant dim …
- 13k
4
votes
What is an obviously coordinate-independent description of the Chevellay-Eilenberg complex f...
I believe an approach that works is to define the Chevalley-Eilenberg complex as a kind of `Koszul complex over the ring of functions'. The enveloping algebra $U$ is relatively quadratic over the rin …
- 13k