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6 votes
0 answers
139 views

What is the DGLA controlling deformations of a group representation?

Fix a (discrete) group $G$, characteristic zero field $k$ and representation $\rho_0: G \to \mathrm{GL}_n(k)$. I want to consider the formal deformations of $\rho_0$. My understanding is there is a ...
8 votes
2 answers
416 views

Conceptual explanation for the sign in front of some binary operations

In several situations, I've seen that given a binary operation on a graded module $m:A\otimes A\to A$, a new operation $M(x,y)=(-1)^{|x|}m(x,y)$ is defined so that it satisfies some properties. One ...