Timeline for Adjoint cohomology of Lie algebra commutes with direct sum?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 17, 2018 at 11:22 | history | edited | YCor | CC BY-SA 4.0 |
fixed typo, added missing math mode
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| Jul 17, 2018 at 10:39 | history | edited | Hamidreza Safari | CC BY-SA 4.0 |
added 234 characters in body
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| Jan 15, 2018 at 11:37 | comment | added | user1688 | Yes, why not. The decisive point is that the direct sum is also the categorical direct product. Then injectivity survives and the argument applies. | |
| Jan 15, 2018 at 9:53 | comment | added | Hamidreza Safari | Does it also work for infinite dimensional Lie algebras such as $W$? | |
| Jan 14, 2018 at 16:57 | history | edited | YCor | CC BY-SA 3.0 |
removed depreciated tag, add another one
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| Jan 14, 2018 at 16:16 | comment | added | user1688 | Yes I think so. One should see this with an explicit resolution, or more abstractly like this: Let A be the category of W modules. The direct sum is a functor from A x A to A which is exact and maps injectives to injectives. Now apply Grothendieck's spectral sequence. | |
| Jan 14, 2018 at 12:39 | history | asked | Hamidreza Safari | CC BY-SA 3.0 |