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Blocks of Rational Representations of a Semisimple Algegraic Group
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kin, Stephen Don |
| Copyright Year | 2007 |
| Abstract | Let G be a semisimple algebraic group over an algebraically closed field k. Any rational representation of G gives rise naturally to a representation of the Lie algebra L of G. If the characteristic of k is zero then, by a classical theorem of Weyl, every finite-dimensional representation of L is completely reducible. From this, it follows that every rational representation of G is completely reducible. However, when the characteristic of k9 say p, is not zero, there are always rational representations which are not completely reducible. The extent of the lack of complete reducibility is measured, in some sense, by the block theory of G. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ams.org/journals/bull/1980-03-02/S0273-0979-1980-14834-X/S0273-0979-1980-14834-X.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Fuchsian group Linear algebra |
| Content Type | Text |
| Resource Type | Article |
