Infinitesimal invariants in a function algebra
Let G be a reductive connected linear algebraic group over an algebraically closed field of positive characteristic and let g be its Lie algebra. First we correct and generalise a well-known result about the Picard group of G. Then we prove that, if the derived group is simply connected and g satisf...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2006.
|
| Subjects: | |
| Online Access: | Get fulltext |
| LEADER | 00777 am a22001213u 4500 | ||
|---|---|---|---|
| 001 | 43536 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Tange, R.H. |e author |
| 245 | 0 | 0 | |a Infinitesimal invariants in a function algebra |
| 260 | |c 2006. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/43536/1/ufd.pdf | ||
| 520 | |a Let G be a reductive connected linear algebraic group over an algebraically closed field of positive characteristic and let g be its Lie algebra. First we correct and generalise a well-known result about the Picard group of G. Then we prove that, if the derived group is simply connected and g satisfies a mild condition, the algebra K[G]^g of regular functions on G that are invariant under the action of g derived from the conjugation action, is a unique factorisation domain. | ||
| 655 | 7 | |a Article | |