Splitting of the algebra of a finite connected affine group scheme
โ Scribed by Richard Rasala
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 629 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
If is a split Lie algebra, which means that is a Lie algebra with a root decomposition = + ฮฑโ ฮฑ , then the roots of can be classified into different types: a root ฮฑ โ is said to be of nilpotent type if all subalgebras x ฮฑ x -ฮฑ = span x ฮฑ x -ฮฑ x ฮฑ x -ฮฑ for x ยฑฮฑ โ ยฑฮฑ are nilpotent, and of simple type
group of linear automorphisms of A . In this paper, we compute the multiplicative n โ ท ลฝ G . structure on the Hochschild cohomology HH A of the algebra of invariants of n โ ท ลฝ G . G. We prove that, as a graded algebra, HH A is isomorphic to the graded n algebra associated to the center of the group al