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Results tagged with deformation-theory
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user 3696
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
22
votes
Deformation theory of representations of an algebraic group
The statements about the group and Lie algebra in the question are special cases of a more general fact.
Namely, if $A$ is an associative algebra and $V$ an $A$-module, then obstructions to deformat …
- 3,929
19
votes
What is a deformation of a category?
Here is a definition that I heard: a family of additive categories over a scheme $X$ (say, defined over a field $k$) is an $k$-linear additive category ${\mathcal C}$ equipped with a structure of a mo …
- 3,929
19
votes
What is a deformation of a category?
Maybe it is helpful to look at these lectures by Yekutieli: arXiv:0801.3233. There he discusses twisted deformations of algebraic varieties $X$ suggested by Kontsevich, i.e. deformations of the catego …
- 3,929