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Results tagged with deformation-theory
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user 66
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
19
votes
Deformations of semisimple Lie algebras
While I think that what Johannes wrote is right, it misses out on an underlying principle. There's a one sentence explanation for this fact, which is "the tangent space to a Lie algebra in the moduli …
- 44.7k
9
votes
Deformation theory of representations of an algebraic group
Here's not a complete answer, but I think an enlightening trick. Deformations of V over the dual numbers are always in bijection with Ext1(V,V) in any abelian category. The trick is that if you have …
- 44.7k
4
votes
algebraic group G vs. algebraic stack BG
If G is a group scheme over k (algebraic closed), then let me talk through how to get G back by looking at the stack BG. The k points of BG (which is a groupoid) consist of one point whose automorphi …
- 44.7k