On the invariant theory of finite pseudo reflection groups
β Scribed by Larry Smith
- Book ID
- 112501960
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 132 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a finite group of complex n = n unitary matrices generated by reflections acting on β«ήβ¬ n . Let R be the ring of invariant polynomials, and let be a multiplicative character of G. Let β be the R-module of -invariant differential forms. We define a multiplication in β and show that under thi
Any finite reflection group G admits a distinguished basis of G-invariants canonically attached to a certain system of invariant differential equations. We determine it explicitly for groups of types A, B, D, and I in a systematic way.
Let R be a commutative ring, V a finitely generated free R-module and G GL R (V) a finite group acting naturally on the graded symmetric algebra A=Sym(V). Let ;(A G ) denote the minimal number m, such that the ring A G of invariants can be generated by finitely many elements of degree at most m. Fur