Let G be any group acting on the Weyl algebra W β«ήβ¬ . We shall propose a 1 Ε½ . G method for finding explicit generators of the ring of invariants W β«ήβ¬ . This 1 method can be generalized to the case of the ring of invariants of an almost normalizing extension R over a commutative ring C under the li
Efficient Generation of the Ring of Invariants
β Scribed by Shou-Jen Hu; Ming-chang Kang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 230 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
We shall use the BinetαMinc formula in the theory of permanents to prove w x David Richman's theorem: Let G be a finite group acting on
cations of permanents to other problems related to invariants are given also.
π SIMILAR VOLUMES
We improve Kemper's algorithm for the computation of a noetherian normalization of the invariant ring of a finite group. The new algorithm, which still works over arbitrary coefficient fields, no longer relies on algorithms for primary decomposition.
Let p3-be an odd prime integer and % O be the Galois field with q"pJ elements. which is a nondegenerate quadratic form, and denote by O(3, % O ) the corresponding orthogonal group. The purpose of this note is to give a new proof of a theorem of S. D. Cohen on the structure of % O [x, y, z]-% O . Th