"Kostant theorem on Lie algebra cohomology of nilpotent subalgebra"의 두 판 사이의 차이
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imported>Pythagoras0 (새 문서: ==expositions== * http://www.math.columbia.edu/~woit/LieGroups-2012/borelweilbott.pdf 분류:Lie theory) |
imported>Pythagoras0 |
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| + | ==introduction== | ||
| + | * one can use the BGG resolution and the fact that for Verma modules $H^i(\mathfrak{g},V(\mu))$ is $\mathbb{C}_{\mu}$ for $i=0$ for $i>0$. | ||
| + | * this requires knowing the BGG resolution, which is a stronger result since it carries information about homomorphisms between Verma modules | ||
| + | |||
| + | |||
==expositions== | ==expositions== | ||
* http://www.math.columbia.edu/~woit/LieGroups-2012/borelweilbott.pdf | * http://www.math.columbia.edu/~woit/LieGroups-2012/borelweilbott.pdf | ||
[[분류:Lie theory]] | [[분류:Lie theory]] | ||
2016년 4월 18일 (월) 18:01 판
introduction
- one can use the BGG resolution and the fact that for Verma modules $H^i(\mathfrak{g},V(\mu))$ is $\mathbb{C}_{\mu}$ for $i=0$ for $i>0$.
- this requires knowing the BGG resolution, which is a stronger result since it carries information about homomorphisms between Verma modules