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Results tagged with derivations
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user 496277
A derivation on a ring 𝑅 is a map 𝐷:𝑅→𝑅 satisfying 𝐷(𝑎+𝑏)=𝐷(𝑎)+𝐷(𝑏) and 𝐷(𝑎𝑏)=𝑎𝐷(𝑏)+𝐷(𝑎)𝑏.
9
votes
1
answer
421
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Hochschild cohomology of a group algebra
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This includes many important spaces such as the center, outer derivations and double derivations. … Any comments or references on this topic (including outer derivations of a general group rings) are appreciated.
Edit: What I really want to know is whether $\mathrm{H}^1(A,A\otimes A)=0$. …
- 985
5
votes
0
answers
123
views
Lie algebra cohomology of formal non-commutative vector fields
The space of continuous derivations $\mathrm{Der}(A)$ is isomorphic, as a vector space, to $A^{\oplus n}$. …
- 985